1
Question
The LCM of 24,36 and 40 is
(a) 4
(b) 90
(c) 360
(d) 720
(a) 4
(b) 90
(c) 360
(d) 720
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Solution
(c) 360
We have:
24 = 2 × 2 × 2 × 3 = 23 × 3
36 = 2 × 2 × 3 × 3 = 22 × 32
40 = 2 × 2 × 2 × 5 = 23 × 5
Here, 2, 3, and 5 are the prime factors. Highest powers of 2, 3, and 5 are 3, 2, and 1, respectively.
∴ LCM of 24, 36, and 40 = 23 × 32 × 5 = 8 × 9 × 5 = 360
We have:
24 = 2 × 2 × 2 × 3 = 23 × 3
36 = 2 × 2 × 3 × 3 = 22 × 32
40 = 2 × 2 × 2 × 5 = 23 × 5
Here, 2, 3, and 5 are the prime factors. Highest powers of 2, 3, and 5 are 3, 2, and 1, respectively.
∴ LCM of 24, 36, and 40 = 23 × 32 × 5 = 8 × 9 × 5 = 360
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