Least Common Multiple of 189, 972, 918, 484

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 189, 972, 918, 484 i.e. 13995828 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 972, 918, 484 is 13995828.

LCM(189, 972, 918, 484) = 13995828

LCM of 189, 972, 918, 484

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

LCM of:

Least Common Multiple of 189,972,918,484

Least Common Multiple (LCM) of 189,972,918,484 is 13995828

2 189, 972, 918, 484
2 189, 486, 459, 242
3 189, 243, 459, 121
3 63, 81, 153, 121
3 21, 27, 51, 121
7, 9, 17, 121

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 7 x 9 x 17 x 121 = 13995828

Least Common Multiple of 189,972,918,484 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 189,972,918,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,972,918,484) = 1

common factors(in case of two or more numbers have common factors) = 5832

GCF(189,972,918,484) x common factors =1 x 5832 = 5832

LCM(189,972,918,484) = ( 189 × 972 × 918 × 484 ) / 5832

LCM(189,972,918,484) = 81623668896 / 5832

LCM(189,972,918,484) = 13995828

∴ Least Common Multiple of 189,972,918,484 is 13995828

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 189, 972, 918, 484

1. What is the LCM of 189, 972, 918, 484?

Answer: LCM of 189, 972, 918, 484 is 13995828.

2. What are the Factors of 13995828?

Answer: Factors of 13995828 are . There are integers that are factors of 13995828

3. How to Find the LCM of 189, 972, 918, 484 ?

Least Common Multiple of 189, 972, 918, 484.

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(189, 972, 918, 484) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 11 x 17 = 13995828.