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Question
The least number divisible by each of the numbers 15, 20, 24 and 32 is
(a) 960
(b) 480
(c) 360
(d) 640
(a) 960
(b) 480
(c) 360
(d) 640
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Solution
LCM of 15, 20, 24 and 32 is given by
15 = 3 × 5 = 31 × 51
20 = 2 × 2 × 5 = 22 × 51
24 = 2 × 2 × 2 × 3 = 23 × 31
32 = 2 × 2 × 2 × 2 × 2 = 25
LCM = 25 × 31 × 51 = 480
Hence, the correct answer is option (b).
15 = 3 × 5 = 31 × 51
20 = 2 × 2 × 5 = 22 × 51
24 = 2 × 2 × 2 × 3 = 23 × 31
32 = 2 × 2 × 2 × 2 × 2 = 25
LCM = 25 × 31 × 51 = 480
Hence, the correct answer is option (b).
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