Least Common Multiple of 108/119, 752/544, 871/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/119, 752/544, 871/630 quickly i.e. 17684784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/119, 752/544, 871/630 is 17684784.

LCM(108/119, 752/544, 871/630) = 17684784

LCM of 108/119, 752/544, 871/630

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 108/119,752/544,871/630

Given numbers are 108/119,752/544,871/630

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 108,752,871

Least Common Multiple of Numerators i.e. LCM of 108,752,871 is 17684784.

GCF of Denominators means GCF of 119,544,630 as per the given fractions.

GCF of 119,544,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,752,871

LCM of Fractions 108/119,752/544,871/630 is 17684784

2 108, 752, 871
2 54, 376, 871
27, 188, 871

∴ So the LCM of the given numbers is 2 x 2 x 27 x 188 x 871 = 17684784

Least Common Multiple of 108,752,871 with GCF Formula

Least Common Multiple of 108,752,871 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 108,752,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,752,871) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(108,752,871) x common factors =1 x 4 = 4

LCM(108,752,871) = ( 108 × 752 × 871 ) / 4

LCM(108,752,871) = 70739136 / 4

LCM(108,752,871) = 17684784


Lets's calculate GCF of 119,544,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17684784/1

Therefore the LCM of Fractions 108/119,752/544,871/630 is 17684784

Greatest Common Factor of 119,544,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,544,630 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 119,544,630 . The biggest common factor number is the GCF number.
So the greatest common factor 119,544,630 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 108/119, 752/544, 871/630

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 108/119, 752/544, 871/630?

Answer: LCM of Numerators as per given numbers 108/119, 752/544, 871/630 is

LCM of Numerators i.e. for 108,752,871 is 17684784

GCF of denominators i.e. for 119,544,630 is 1.

Thus, LCM of Fractions is 17684784.Finally, LCM of Fractions for 108/119, 752/544, 871/630 is 17684784.