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.