Least Common Multiple of 644/567, 108/210, 920/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/567, 108/210, 920/542 quickly i.e. 173880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/567, 108/210, 920/542 is 173880.

LCM(644/567, 108/210, 920/542) = 173880

LCM of 644/567, 108/210, 920/542

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 644/567,108/210,920/542

Given numbers are 644/567,108/210,920/542

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 644,108,920

Least Common Multiple of Numerators i.e. LCM of 644,108,920 is 173880.

GCF of Denominators means GCF of 567,210,542 as per the given fractions.

GCF of 567,210,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,108,920

LCM of Fractions 644/567,108/210,920/542 is 173880

2 644, 108, 920
2 322, 54, 460
23 161, 27, 230
7, 27, 10

∴ So the LCM of the given numbers is 2 x 2 x 23 x 7 x 27 x 10 = 173880

Least Common Multiple of 644,108,920 with GCF Formula

Least Common Multiple of 644,108,920 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 644,108,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,108,920) = 4

common factors(in case of two or more numbers have common factors) = 92

GCF(644,108,920) x common factors =4 x 92 = 368

LCM(644,108,920) = ( 644 × 108 × 920 ) / 368

LCM(644,108,920) = 63987840 / 368

LCM(644,108,920) = 173880


Lets's calculate GCF of 567,210,542

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173880/1

Therefore the LCM of Fractions 644/567,108/210,920/542 is 173880

Greatest Common Factor of 567,210,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,210,542 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 567,210,542 . The biggest common factor number is the GCF number.
So the greatest common factor 567,210,542 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 644/567, 108/210, 920/542

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 644/567, 108/210, 920/542?

Answer: LCM of Numerators as per given numbers 644/567, 108/210, 920/542 is

LCM of Numerators i.e. for 644,108,920 is 173880

GCF of denominators i.e. for 567,210,542 is 1.

Thus, LCM of Fractions is 173880.Finally, LCM of Fractions for 644/567, 108/210, 920/542 is 173880.