Find the least number which when divided by 60, 75 and 80 leaves remainder 12
in each case.
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Answer:
25 = 5 x 5
30 = 3 x 2 x 5
70 = 5 x 2 x7
Common factors = 5 x 2 = 10
uncommon factors = 7 x 3 x 5 = 105
L.C.M = Common factors x uncommon factors
L.C.M = 10 x 105 = 1050
The least number which when divided by 25,30,70 leaves remainder 11 is 1050 + 11 = 1061
Ans: 1061
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