Least Common Multiple of 90, 23, 60, 324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 90, 23, 60, 324 i.e. 37260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 23, 60, 324 is 37260.

LCM(90, 23, 60, 324) = 37260

LCM of 90, 23, 60, 324

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 90,23,60,324

Least Common Multiple (LCM) of 90,23,60,324 is 37260

2 90, 23, 60, 324
2 45, 23, 30, 162
3 45, 23, 15, 81
3 5, 23, 15, 27
5 5, 23, 5, 9
1, 23, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 23 x 1 x 9 = 37260

Least Common Multiple of 90,23,60,324 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 90,23,60,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,23,60,324) = 1

common factors(in case of two or more numbers have common factors) = 1080

GCF(90,23,60,324) x common factors =1 x 1080 = 1080

LCM(90,23,60,324) = ( 90 × 23 × 60 × 324 ) / 1080

LCM(90,23,60,324) = 40240800 / 1080

LCM(90,23,60,324) = 37260

∴ Least Common Multiple of 90,23,60,324 is 37260

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 90, 23, 60, 324

1. What is the LCM of 90, 23, 60, 324?

Answer: LCM of 90, 23, 60, 324 is 37260.

2. What are the Factors of 37260?

Answer: Factors of 37260 are . There are integers that are factors of 37260

3. How to Find the LCM of 90, 23, 60, 324 ?

Least Common Multiple of 90, 23, 60, 324.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(90, 23, 60, 324) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 23 = 37260.