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Smallest 3 digit number divisible by 8 10 12

WebbLet's find the LCM of 8, 10, and 12 as shown below. LCM of 8, 10, and 12 will be equal to 2 × 2 × 2 × 3 × 5 = 120 As we know that the greatest 3-digit number is 999, we will now … WebbThe smallest 3-digit number which is completely divisible by 18, 24 and 32 is Q. Find the smallest number which, when increased by one is exactly divisible by 12,18,24,32 and 40. Q. The smallest 4 digit number which is divisible by 18, 24 & 32 is View More Euclid's Division Algorithm_Tackle MATHEMATICS Explore more Euclid's Division Algorithm

Smallest number divisible by first n numbers - GeeksforGeeks

WebbSolution: Yes, if the number is divisible by 9, we can conclude that it is divisible by 3 as well (as 3 is a factor of 9). Since it is divisible by 3 and 4, it is divisible by 12 (once again, the rule of factors applies). Example 3: The sum of the … WebbWe have to find the greatest 3 digit multiple of 120. Therefore, the number is. 120 x 8 = 960. 120 x 10 = 1200. 120 x 12 = 1440. The 1200 and 1440 are not 3-digit numbers. Hence, the greatest 3- digit number exactly divisible by 8, 10 & 12 is 960. Verification. Now, let us check whether 960 is divisible by 8, 10 and 12. 960 ÷ 8 = 120. 960 ÷ ... ra 空調機 https://cxautocores.com

Determine the smallest 3-digit number which is exactly divisible by …

WebbDetermine the smallest 3-digit number which is exactly divisible by 6, 8 and 12. Solution The least common multiple (LCM) of 2 or more numbers is the smallest number that they all divide evenly. LCM: 2 6,8,12 2 3,4,6 2 3,2,3 3 3,1,3 1.1,1 LCM of 6, 8 and 12 = 2×2×2×3 = 24 The smallest 3-digit number = 100 WebbDetermine the smallest 3-digit number which is exactly divisible by 6, 8 and 12 Solution: We will be using the concept of LCM (Least Common Multiple) to solve this. We know that the smallest 3-digit number is 100 Let's find the LCM of 6, 8, and 12 as shown below. As we can observe from the division method, LCM of 6, 8, and 12 is 2 × 2 × 2 × 3 = 24 Webb4 apr. 2024 · Hence, the smallest 3-digit number which is exactly divisible by 6, 8 and 12 is 120. This is the required answer. Note: In such types of questions it is always advisable to divide the final number by the given numbers to ensure that they are divisible by the final answer. So, $ \dfrac { {120}} {6} = 20l \\ \dfrac { {120}} {8} = 15\\ ra 神

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Smallest 3 digit number divisible by 8 10 12

Determinethe smallest 3-digit number which is exactly divisible by …

Webb26 okt. 2024 · Divisibility is being able to be divided equally by a certain number. In math, we also use the word divisible. In this video lesson, we looked at divisibility by 8, 9, and 10. WebbAnswer: Since the difference between every two consecutive numbers is 12, the sequence is an A.P. The smallest 3-digit number divisible by 12 is 108 and the largest 3-digit number divisible by 12 is 996 Last no. = first no. + (n - 1)d Therefore, 996 = 108 + (n - 1) x 12 therefore 996 = 108 ...

Smallest 3 digit number divisible by 8 10 12

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WebbTo find out the largest 3-digit number which is exactly divisible by 8, 10 and 12. first let us calculate the L.C.M 8, 10 and 12. L.C.M of 8, 10, 12 = 2 x 2 x 2 x 3 x 5. Hence, LCM of 8, … WebbAnswer (1 of 9): 105. Took me fewer than 5 seconds to work out. How? Divisible by 5 means it has to end in 0 or 5. Divisible by 3. Add up the constituent digits and if they are divisible by 3 the whole number is as well. So, our lowest 3-digit number divisible by 5 is 100. 1 + 0 + 0 = 1 (not d...

WebbThree digit numbers divisible by 8. We will start off with a couple of definitions for clarification. Three digit numbers (3-digit numbers) are numbers that have three digits in … WebbDetermine the smallest 3-digit number which is exactly divisible by 6, 8 and 12. Solution: We will be using the concept of LCM(Least Common Multiple) to solve this. We know …

WebbLCM =2 3×3 1×5 1. =120. 120 is the smallest number which is divisible by 5,8 and 12 and also a 3−digit number. WebbIt is divisible by 2 and by 3. [6] 1458: 1 + 4 + 5 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6. Sum the ones digit, 4 times the 10 digit, 4 times the 100s digit, 4 times the 1000s digit, etc. If the result is divisible by 6, so is the original number. (Works because.

WebbA number is divisible by 8 if its last three digits are divisible by 8. A number is divisible by 9 if its sum of digits is divisible by 9. A number is divisible by 10 if its last digit is a 0. A …

Webb30 maj 2024 · As such, since $100a + 10b$ is the same for all $8$ numbers, to have it be divisible by their $8$ last digits means the $\operatorname{lcm}$ of those digits must divide $100a + 10b$. Next, as you stated, the first ending digit must be either $1$ , so it goes to $8$ , or $2$ , in which case it goes to $9$ . duck duck go linkedinWebbThus, all the multiples of 24 will also be divisible by 6, 8, and 12. Now we will divide the smallest 3-digit number with the LCM obtained, and the remainder will be subtracted from the dividend, and 24 will be added to it to make it perfectly divisible. ∴ 100 24 = 4, … duckduckgo google pluginWebbWe can simplify the requirement by noting that if our number is divisible by 3 and by 8 then it is also divisible by 6 and by 12. So next, the smallest 3 digit number is of course 100. … ra 等级WebbAnswer (1 of 4): FIRST STEP: Find the Prime Factors of each number: What are the prime factors of 10? * 2¹ × 5¹ = 10 What are the prime factors of 12? * 2² × 3¹ = 12 What are the prime factors of 14? * 2¹ × 7¹ = 14 NEXT STEP: What are the prime numbers? (list them once only) * Our prime ... duckduckgo no googleWebb26 mars 2024 · 4.. Determine the smallest 3-digit number which is exactly divisible by 6,8 and 12 5. Determine the greatest 3-digit number exactly divisible by 8,10 and 12 . Viewed by: 5,517 students. Updated on: Mar 26, 2024. ra 空調WebbThe smallest 4− digit number exactly divisible by 12,15,20 and 35 is ............. A 1,000 B 1,160 C 1,260 D none of these Medium Solution Verified by Toppr Correct option is C) The smallest 4-digit =1000 Now L.C.M of 12,15,20and35 2∣12,15,20,35 2∣6,15,20,35 3∣15,5,35 5∣1,5,5,35 7∣1,1,1,1 1,1,1,1 L.C.M.=2×2×3×5×7=420 We divided 1000 by 420 ra 筆記体WebbThree digit numbers divisible by 12. We will start off with a couple of definitions for clarification. Three digit numbers (3-digit numbers) are numbers that have three digits … ra 空運