Question

what os the LCM of 60,75,80,90

Answer 1

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Answer 2

Concept

The least common multiple, lowest common multiple, or smallest common multiple of two numbers a and b, normally represented by lcm, is the smallest positive integer divisible both by a and b in arithmetic and number theory.

Given

The numbers 60,75,80,90 are given

Find

We have to find the LCM of given number

Solution

• Write the given numbers 60,75,80,90 in row
• Dividing the given numbers by prime numbers as long as at least two numbers are evenly divisible by that prime.
• By bring down any numbers that are not evenly divisible by the current factor.
• When there are no more primes that evenly divide into at least two numbers then we are done

LCM = 2 x 2 x 3 x 5 x 5 x 4 x 3

LCM = 3600

Therefore LCM (60,75,80,90) = 3600

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