Question

Find the least number divisible by 15,20,24,32 and 36

Answer 1

Hi ,

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
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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.

: )

Answer 2

Hiii friend,

Prime factorisation of 15 = 3 × 5

Prime factorisation of 20 = 2 × 2 × 5

Prime factorisation of 24 = 2 × 2 × 2 × 3

Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2

Prime factorisation of 36 = 2 × 2 × 3 × 3

LCM of 15,20,24,32 and 36 = 2 × 2 × 2 × 3 × 3 × 4 × 5 = 1440.

Hence,

The required Number = LCM(15,20,24,32,36) = 1440.

HOPE IT WILL HELP YOU...... :-)