Question

Find the number which should be subtracted from 65 to make it divisible by 6, 12 and
15.

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Answer 1

Step-by-step explanation:

LCM of 6, 12 and 15

6 = 2×3

12 = 2×2×3

15 = 3×5

LCM = 2×2×3×5

= 60

65 - 5 = 60

So, 5 should be subtracted from 65 to make it divisible by 6, 12 and 15.

Answer 2

The answer is 5.

GIVEN

A number = 65

TO FIND

The number which should be subtracted from 65 to make it divisible by 6, 12 and

15.

SOLUTION

We can simply solve the above problem as follows;

We have to find the number which is divisible by6, 12 and 15.

This means that, It is also a multiple of 6,12, and 15.

First we will find the LCM of 6,12 and 15

2|6, 12, 15

2|3, 4, 15

2| 3, 2, 15

3 | 3, 1, 15

5| 1, 1, 5

1| 1, 1, 1

LCM = 2×2×2×3×5 = 60

So,60 is the least number which will be divisible by 6,12 and 15.

Let the number subtracted be x

65-x = 60

x = 65-60 = 5

Hence, The answer is 5.

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