Question

Find the greatest 4-digit number which is divisible by 36, 48, 72.

Answer 1

Answer:

Step-by-step explanation:

4676

Answer 2

Given:

Find the greatest 4 digit number divisible by 36 48 72

Solution:

LCM of 36, 48, and 72:

2 | 36, 48, 72

2 | 18, 24, 36

2 | 9, 12, 18

2 | 9, 6, 9

3 | 9, 3, 9

3 | 3, 1, 3

1. 1. 1

=> 2 x 2 x 2 x 2 x 3 x 3 = 144

The greatest 4-digit number is 9999

Now, divide 9999 by 144

144) 9999 ( 69

864

________

1359

1296

,_______

63

________

Subtract the remainder from the dividend

=> 9999 - 63

=> 9936

Hence, 9936 is the greatest 4 digit number which divisible by 36 48 72.