Least Common Multiple of 108, 864, 141, 458, 678

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 108, 864, 141, 458, 678 i.e. 1050813216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 108, 864, 141, 458, 678 is 1050813216.

LCM(108, 864, 141, 458, 678) = 1050813216

LCM of 108, 864, 141, 458, 678

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

LCM of:

Least Common Multiple of 108,864,141,458,678

Least Common Multiple (LCM) of 108,864,141,458,678 is 1050813216

2 108, 864, 141, 458, 678
2 54, 432, 141, 229, 339
3 27, 216, 141, 229, 339
3 9, 72, 47, 229, 113
3 3, 24, 47, 229, 113
1, 8, 47, 229, 113

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 8 x 47 x 229 x 113 = 1050813216

Least Common Multiple of 108,864,141,458,678 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 108,864,141,458,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,864,141,458,678) = 1

common factors(in case of two or more numbers have common factors) = 3888

GCF(108,864,141,458,678) x common factors =1 x 3888 = 3888

LCM(108,864,141,458,678) = ( 108 × 864 × 141 × 458 × 678 ) / 3888

LCM(108,864,141,458,678) = 4085561783808 / 3888

LCM(108,864,141,458,678) = 1050813216

∴ Least Common Multiple of 108,864,141,458,678 is 1050813216

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 108, 864, 141, 458, 678

1. What is the LCM of 108, 864, 141, 458, 678?

Answer: LCM of 108, 864, 141, 458, 678 is 1050813216.

2. What are the Factors of 1050813216?

Answer: Factors of 1050813216 are . There are integers that are factors of 1050813216

3. How to Find the LCM of 108, 864, 141, 458, 678 ?

Least Common Multiple of 108, 864, 141, 458, 678.

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(108, 864, 141, 458, 678) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 x 113 x 229 = 1050813216.