find the least number which when divided by 3,4,5,6,10 and 12 leaves a reminder of 2 in each case
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LCM of 3,4,5,6,10 and 12 = 120
Required number = 120x +2
Suppose, Required number = N
13/N = reminder = 0
we have to find the least number that should divide N and reminder = 0
If, x = 8
Then,
N = 120 * 8 + 2
N = 960 + 2
N = 962
Therefore,
N = Required number = 962
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