What is the LCM of 25, 30, 35, and 40?

4000

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4200

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3500

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4100

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Solution

The correct option is B 4200
Let us find LCM of 25, 30, 35, and 40 by prime factorisation. Prime factorisation of 25 = 5 × 5 = 5 $^{2}$
Prime factorisation of 30 = 2 × 3 × 5
Prime factorisation of 35 = 5 × 7
Prime factorisation of 40 = 2 × 2 × 2 × 5 = 2 $^{3}$ × 5
Thus,
LCM (25, 30, 35, 40) = 2 ×2 × 2 × 3 × 5 × 5 × 7 = 4200

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