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Find the LCM of 150, 210.

Question

Find the LCM of 150, 210.

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Solution

Sure, here are the steps to find the Least Common Multiple (LCM) of 150 and 210:

Step 1: Prime factorize the numbers.

  • Prime factors of 150 = 2 x 3 x 5 x 5
  • Prime factors of 210 = 2 x 3 x 5 x 7

Step 2: Identify the common factors.

  • The common factors are 2, 3, and 5.

Step 3: Identify the factors that are not common.

  • The factors that are not common are 5 (from 150) and 7 (from 210).

Step 4: Multiply the common factors and the factors that are not common.

  • LCM = 2 x 3 x 5 x 5 x 7 = 1050

So, the LCM of 150 and 210 is 1050.

This problem has been solved

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