Find the LCM of the following group of numbers using prime factor method:
(a) 18, 24 and 96 (b) 16, 20 and 24
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Step-by-step explanation:
( a )
Prime factors of 18 = 2 × 3 × 3
Prime factors of 24 = 2 × 2 × 2 × 3
Prime factors of 96 = 2 × 2 × 2 × 2 × 2 × 3
LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288
( b )
Prime factors of 16 = 2 × 2 × 2 × 2
Prime factors of 20 = 2 × 2 × 5
Prime factors of 24 = 2 × 2 × 2 × 3
LCM = 2 × 2 × 2 × 2 × 2 × 5 × 3 = 480
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