Find the greater nimber of four digit which is exactly divisible by 15 ,24,and 36
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We know that the greatest number of 4 digit is 9999.
Prime factorization of 24,15 and 36 :
24 = 2x 2 x 2 x 3
15 = 3 x 5
36 = 2 x 2 x 3 x3
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
If we divide 9999 by 360 we will get remainder 279 .
999999 - 279 = 999720
Hence, the required number is 999720
hope it will help u
Prime factorization of 24,15 and 36 :
24 = 2x 2 x 2 x 3
15 = 3 x 5
36 = 2 x 2 x 3 x3
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
If we divide 9999 by 360 we will get remainder 279 .
999999 - 279 = 999720
Hence, the required number is 999720
hope it will help u
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