The least possible positive number when divided by 3, 4 and 5 leaves remainder 1 in each case, is
Answers
The least possible positive number is 61 when divided by 3, 4 and 5 leaves remainder 1 in each case
Given : A number when divided by 3, 4 and 5 leaves remainder 1 in each case
To Find : The least possible positive number satisfying the condition
Solution:
The least possible positive number when divided by 3, 4 and 5 leaves remainder 1 in each case will be LCM ( 3 , 4 , 5) + 1
3 , 4 , 5 are co primes Hence
LCM = 3 x 4 x 5 = 60
60 + 1 = 61
Hence
The least possible positive number is 61 when divided by 3, 4 and 5 leaves remainder 1 in each case
LCM - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
LCM = product of each factor of highest power
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