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Question

Find the L.C.M. of each of the following groups of numbers, using (i) the prime factor method (ii) the common division method:

(ii) 100,150 and 200

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Solution

Step 1: Use the prime factor method to find L.C.M

L.C.M of 100,150 and 200
Prime factors of 100=2×2×5×5
=22×52
Prime factors of 150=2×3×5×5
=21×31×52
Prime factors of 200=2×2×2×5×5
=23×52
L.C.M. of 100,150 and 200
=23×31×52
=2×2×2×3×5×5
=600

Step 2: Use the common division method to find L.C.M.

L.C.M. of 100,150 and 200=2×2×2×3×5×5
=600

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