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What is the LCM of 409 and 6950?

Answer: The LCM of 409 and 6950 is 2842550

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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:

409 = 409

6950 = 2, 5, 5, 139

  • Identify the highest powers of all prime numbers that appear in the factorization: 21×52×1391×40912^1 × 5^2 × 139^1 × 409^1
  • To find LCM multiply these highest powers: LCM(409, 6950) = 21×52×1391×40912^1 × 5^2 × 139^1 × 409^1 = 2842550

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 409 and 6950 using the method of listing common multiples, follow these steps:

  1. List some multiples of each number.
  2. Identify the smallest multiple that is common to both lists.
  • Multiples of 409

409, 818, 1227, 1636, 2045, 2454, 2863, 3272, 3681, 4090,…

  • Multiples of 6950

6950, 13900, 20850, 27800, 34750, 41700, 48650, 55600, 62550, 69500,…

  • Common multiples

Identify the common multiples from the lists above: 2842550, 5685100,…

The smallest common multiple is 2842550.

The LCM of 409 and 6950 using the common multiples method is 2842550.

Summary

What is the LCM of 409 and 6950? The answer is 2842550. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

This page provided a complete animated walkthrough for what is the lcm of 409 and 6950?. Every step was visualized so you can understand not just the answer, but the method behind it. Use the animation above to replay and study each step at your own pace.

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