Question

6. The least number divisible by each of the numbers 15, 20, 24, 32 and 36 is
(a) 2080
(6) 1640
(c) 1860
(d) 1440​

Answer 1

To find least number which is

divisible by 15 , 20 , 24 , 32 , 36

we have find the LCM of given

numbers.

2| 15 , 20 , 24 , 32 , 36

____________________

2| 15 , 10 , 12 , 16 , 18

_____________________

2| 15 , 5 , 6 , 8 , 9

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3| 15 , 5 , 3, 4, 9

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5 |5 , 5 , 1 , 4 , 3

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** |1 , 1 , 1 , 4 , 3

______________

Therefore ,

LCM = 2 × 2 × 2 × 3 × 5 × 4 × 3

= 1440

Required least number is 1440.

I hope this helps you