Math, asked by guptaronit178, 1 year ago

Find the greatest number of four digits which is exactly divisible by 15, 24 and 36​

Answers

Answered by laughoutloud42
4

Answer:

3600

LCM(15, 24, 36)

15= 3 x 5

24= 3 x 2 x 2 x 2

36= 3 x 3 x 2 x 2

LCM= 3 x 3 x 2 x 2 x 2 x 5

       =360

For four digit number,

360 x 10= 3600


laughoutloud42: 15=3×5
24=2×2×2×3
36=2×2×3×3
LCM =360
The greatest 4 digit no. Is 9999
Dividing LCM by 9999 we get remainder as 279
9999-279=9720
The answer is 9720
laughoutloud42: This is the correct answer.
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