Question

find the least positive integer which on being diminished by 5 in exactly divisible by 36 and 54

Answer 1

we have to find the LCM of 36 and 54 which is 108
now the answer is 108 + 5
= 113

Answer 2

Answer:

Step-by-step explanation:

36=2x2x3x3=2²x²

54=2x3x3x3=2x3³

Therefore, LCM (36, 54) = 2²x3³

=4x27=108

Therefore, required least positive integer x when diminished by 5 is divisible by 36 and 54 is given by x-5=108.

x=108+5=113.

This is our required answer.