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Home| Questions|Q 103974
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Priyanka Kashyap
Priyanka Kashyap
Asked: February 23, 20232023-02-23T15:09:25+05:30 2023-02-23T15:09:25+05:30In: Mathematics

What is the LCM of 10, 15, and 20?

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    1. Kajal Gupta
      Kajal Gupta
      2023-02-24T22:10:52+05:30Added an answer on February 24, 2023 at 10:10 pm

      To find the LCM (Least Common Multiple) of 10, 15, and 20, we can start by finding the prime factorization of each number: 10 = 2 × 5 15 = 3 × 5 20 = 2 × 2 × 5 Then, we can take the highest power of each prime factor that appears in any of the numbers, and multiply them together: The highest power oRead more

      To find the LCM (Least Common Multiple) of 10, 15, and 20, we can start by finding the prime factorization of each number:

      • 10 = 2 × 5
      • 15 = 3 × 5
      • 20 = 2 × 2 × 5

      Then, we can take the highest power of each prime factor that appears in any of the numbers, and multiply them together:

      • The highest power of 2 is 2² = 4 (from 20)
      • The highest power of 3 is 3¹ = 3 (from 15)
      • The highest power of 5 is 5¹ = 5 (from 10 and 15 and 20)

      Therefore, the LCM of 10, 15, and 20 is:

      LCM(10, 15, 20) = 2² × 3¹ × 5¹ = 60

      So the LCM of 10, 15, and 20 is 60.

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