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What is LCM of 420, 2961 | 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:

420 = 2, 2, 3, 5, 7

2961 = 3, 3, 7, 47

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 3^2 × 5^1 × 7^1 × 47^1$
To find LCM multiply these highest powers: LCM(420, 2961) = $2^2 × 3^2 × 5^1 × 7^1 × 47^1$ = 59220

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 420 and 2961 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 420

420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200,…

Multiples of 2961

2961, 5922, 8883, 11844, 14805, 17766, 20727, 23688, 26649, 29610,…

Common multiples

Identify the common multiples from the lists above: 1243620, 2487240,…

The smallest common multiple is 59220.

The LCM of 420 and 2961 using the common multiples method is 59220.

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Summary

What is the LCM of 420 and 2961? The answer is 59220. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 420 and 2961?

Answer: The LCM of 420 and 2961 is 59220

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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