Find the least number which when dividend by 54,63and81 leves 6 remainder in each case
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Your Question:
Find the least number which when dividend by 54,63 and 81 leaves 6 remainder in each case.
Step-by-step explanation:
Given,
Find the least number which when divided by 54, 63 and 81 leaves 6 as remainder in each case
We need to find the LCM of the given numbers in order to find the least number. So
LCM of 54, 63 and 81 will be
Factors are 3 x 3 x 3 x 2 x 7 x 3 = 1134 + 6 = 1140
Now when we divide 1140 / 54 remainder is 6
1140 / 63 remainder is 6
1140 / 81 remainder is 6
So the least number will be 1140
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answer 1140
explanation
54=2 3 3 3
63=3 3 7
81=3 3 3 3
LCM = 2 3⁴ 7
LCM of 54 63 81 is 1134
1134 +6 = 1140
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