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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