Least Common Multiple of 498, 454, 384, 108, 561

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 498, 454, 384, 108, 561 i.e. 12176410752 smallest integer divisible by all numbers.

Least common multiple (LCM) of 498, 454, 384, 108, 561 is 12176410752.

LCM(498, 454, 384, 108, 561) = 12176410752

LCM of 498, 454, 384, 108, 561

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

LCM of:

Least Common Multiple of 498,454,384,108,561

Least Common Multiple (LCM) of 498,454,384,108,561 is 12176410752

2 498, 454, 384, 108, 561
2 249, 227, 192, 54, 561
3 249, 227, 96, 27, 561
83, 227, 32, 9, 187

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 227 x 32 x 9 x 187 = 12176410752

Least Common Multiple of 498,454,384,108,561 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 498,454,384,108,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,454,384,108,561) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(498,454,384,108,561) x common factors =1 x 432 = 432

LCM(498,454,384,108,561) = ( 498 × 454 × 384 × 108 × 561 ) / 432

LCM(498,454,384,108,561) = 5260209444864 / 432

LCM(498,454,384,108,561) = 12176410752

∴ Least Common Multiple of 498,454,384,108,561 is 12176410752

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 498, 454, 384, 108, 561

1. What is the LCM of 498, 454, 384, 108, 561?

Answer: LCM of 498, 454, 384, 108, 561 is 12176410752.

2. What are the Factors of 12176410752?

Answer: Factors of 12176410752 are . There are integers that are factors of 12176410752

3. How to Find the LCM of 498, 454, 384, 108, 561 ?

Least Common Multiple of 498, 454, 384, 108, 561.

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(498, 454, 384, 108, 561) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 17 x 83 x 227 = 12176410752.