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Home| Questions|Q 103868
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Expert Civil Latest Questions

Mahima Singh
Mahima Singh
Asked: February 23, 20232023-02-23T15:09:11+05:30 2023-02-23T15:09:11+05:30In: Mathematics

Find the LCM of 48 and 60.

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    1. Kajal Gupta
      Kajal Gupta
      2023-02-26T15:03:15+05:30Added an answer on February 26, 2023 at 3:03 pm

      To find the least common multiple (LCM) of 48 and 60, we can use several methods. Here's one approach using prime factorization: First, we can factor both 48 and 60 into primes: 48 = 2^4 x 3^1 60 = 2^2 x 3^1 x 5^1 Next, we can find the highest power of each prime that appears in either factorizationRead more

      To find the least common multiple (LCM) of 48 and 60, we can use several methods. Here’s one approach using prime factorization:

      First, we can factor both 48 and 60 into primes:

      • 48 = 2^4 x 3^1
      • 60 = 2^2 x 3^1 x 5^1

      Next, we can find the highest power of each prime that appears in either factorization. To do this, we look for the largest exponent of each prime that appears in either factorization:

      • 2^4 appears in 48, and 2^2 appears in 60. So we take the larger exponent, 2^4, to include all of the factors of 2 in both numbers.
      • 3^1 appears in both factorizations, so we include it once.
      • 5^1 appears in 60, but not in 48, so we include it.

      Multiplying these prime factors together, we get the LCM: LCM(48, 60) = 2^4 x 3^1 x 5^1 = 240

      Therefore, the LCM of 48 and 60 is 240.

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