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What is LCM of 57, 8608 | Prime factorisation, common factor

Prime Factorization Method

There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.

Find the prime factorization of each number:

57 = 3, 19

8608 = 2, 2, 2, 2, 2, 269

Identify the highest powers of all prime numbers that appear in the factorization: $2^5 × 3^1 × 19^1 × 269^1$
To find LCM multiply these highest powers: LCM(57, 8608) = $2^5 × 3^1 × 19^1 × 269^1$ = 490656

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 57 and 8608 using the method of listing common multiples, follow these steps:

List some multiples of each number.
Identify the smallest multiple that is common to both lists.

Multiples of 57

57, 114, 171, 228, 285, 342, 399, 456, 513, 570,…

Multiples of 8608

8608, 17216, 25824, 34432, 43040, 51648, 60256, 68864, 77472, 86080,…

Common multiples

Identify the common multiples from the lists above: 490656, 981312,…

The smallest common multiple is 490656.

The LCM of 57 and 8608 using the common multiples method is 490656.

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Summary

What is the LCM of 57 and 8608? The answer is 490656. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 57 and 8608?

Answer: The LCM of 57 and 8608 is 490656

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

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Summary

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