Least Common Multiple of 45, 82, 22, 264

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 45, 82, 22, 264 i.e. 162360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 82, 22, 264 is 162360.

LCM(45, 82, 22, 264) = 162360

LCM of 45, 82, 22, 264

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

LCM of:

Least Common Multiple of 45,82,22,264

Least Common Multiple (LCM) of 45,82,22,264 is 162360

2 45, 82, 22, 264
3 45, 41, 11, 132
11 15, 41, 11, 44
15, 41, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 11 x 15 x 41 x 1 x 4 = 162360

Least Common Multiple of 45,82,22,264 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 45,82,22,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,82,22,264) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(45,82,22,264) x common factors =1 x 132 = 132

LCM(45,82,22,264) = ( 45 × 82 × 22 × 264 ) / 132

LCM(45,82,22,264) = 21431520 / 132

LCM(45,82,22,264) = 162360

∴ Least Common Multiple of 45,82,22,264 is 162360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 82, 22, 264

1. What is the LCM of 45, 82, 22, 264?

Answer: LCM of 45, 82, 22, 264 is 162360.

2. What are the Factors of 162360?

Answer: Factors of 162360 are . There are integers that are factors of 162360

3. How to Find the LCM of 45, 82, 22, 264 ?

Least Common Multiple of 45, 82, 22, 264.

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(45, 82, 22, 264) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 41 = 162360.