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