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Find the least number divisible by 15, 20, 24, 32, and 36.
Given :
The given numbers are 15, 20, 24, 32, 36.
To do :
We have to find the least number divisible by 15, 20, 24, 32, 36.
Solution :
To find the least number which is divisible by 15, 20, 24, 32, 36 we have to find the LCM of the given numbers.
LCM of 15, 20, 24, 32 and 36 is
2 | 15,20,24,32,36 |
2 | 15,10,12,16,18 |
2 | 15,5,6,8,9 |
2 | 15,5,3,4,9 |
3 | 15,5,3,2,9 |
5 | 5,5,1,2,3 |
1,1,1,2,3 |
LCM $=2 \times 2\times 2 \times 2\times 2\times 3\times 3\times 5=1440$.
Therefore, the least number which is divisible by 15, 20, 24, 32, 36 is 1440.
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