find the greatest number of 6 digit which is exactly divisible by 24,15 and 36.
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Answers
Answer:
The greatest number of 6 digits = 999999
First, we need to find the LCM of 24, 15 and 36 and then divide 6 digits number 999999 by the LCM and subtract the remainder from 6 digit number 999999.
24, 15 and 36
24 = 2 x 2 x2 x3
15 = 3 x 5
36 = 2 x 2 x 3 x 3
L.C.M of 24, 15 and 36 = 360
Now, 999999 / 360
quotient = 2777
Remainder = 279
Therefore, the remainder is 279. Hence the required number is = 999999 – 279 = 999720
Hence, 999720 is the greatest number of 6 digits exactly divisible by 24, 15 and 36.
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Step-by-step explanation:
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SOLUTION:
The greatest number of 6 digits = 999999
First, we need to find the LCM of 24, 15
and 36 and then divide 6 digits number
999999 by the LCM and subtract the remainder from 6 digit number 999999.
24, 15 and 36
24 = 2x 2 x2 x3
15 = 3x 5
36 = 2x 2x3x3
L.C.M of 24, 15 and 36 ° 360
Now, 999999/ 360
Quotient = 2777
Remainder = 279
Therefore, the remainder is 279. Hence
the required number is 999999 - 279 =
999720>
Hence, 999720 is the greatest numberof 6 digits exactly divisible by 24, 15 and 36.
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