Q. 94.0( 5 Votes )

Find the least positive integer which on diminished by 5 is exactly divisible by 36 and 54.

Answer :

In this type of problem we need to calculate L.C.M. of these two numbers so first we calculate the L.C.M.

Factor of 36 is = 2 × 2 × 3 × 3


Similarly factor of 54 is = 2 × 3 × 3 ×3


So L.C.M. of 36 and 54 is = 2 × 2 × 3 × 3 × 3


= 108


So the least positive integer is = 108 + 5


= 113


Hence 113 is the lest positive integer which on diminished by 5 is exactly divisible by 36 and 54.


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