Multiple choice

Find the L.C.M. of 375 and 2500.

  1. 7500

  2. 2500

  3. 125

  4. 30
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A Correct answer
Explanation

The prime factorisation of 375 = 3 $\times$ 53 The prime factorisation of 2500 = 22 $\times$ 54 3 $\times$ 54 $\times$ 22 = 7500

AI explanation

375 = 3 x 5^3 and 2500 = 2^2 x 5^4. The LCM takes the highest power of each prime appearing in either number: 2^2 x 3 x 5^4 = 4 x 3 x 625 = 7500. This is the smallest number divisible by both 375 and 2500.

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