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The least common multiple of 135 and 24 is _________(a) 90(b) 360(c) 240(d) 1080This question was posed to me in exam.The doubt is from Real Numbers in portion Real Numbers of Mathematics – Class 10

Answer» CORRECT ANSWER is (d) 1080

The best I can EXPLAIN: 135 can be written as 3 × 3 × 3 × 5 × 1 and 24 can be written as 2 × 2 × 2 × 3 × 1.

LCM is the product of greatest power of each prime FACTOR involved in the numbers.

Therefore, LCM = 2 × 2 × 2 × 3 × 3 × 3 × 5 = 1080


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