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Q.

L.C.M. of 25, 30, 35 and 40 is 4200

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Detailed Solution

L.C.M. of 25, 30, 35 and 40

Let us find LCM by prime factorisation.

Prime factorisation of 25 = 5 x 5 = 5²

Prime factorisation of 30 = 2 x 3 x 5

Prime factorisation of 35 = 5 x 7

Prime factorisation of 40 = 2 x 2 x 2 x 5 = 2³ x 5

Thus,

LCM (25, 30, 35, 40) = 2 x 2 x 2 x 3 x 5 x 5 x 7 = 4200

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