Least Common Multiple of 3144/870, 8739/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3144/870, 8739/544 quickly i.e. 4579236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3144/870, 8739/544 is 4579236.

LCM(3144/870, 8739/544) = 4579236

LCM of 3144/870, 8739/544

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 3144/870,8739/544

Given numbers are 3144/870,8739/544

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 3144,8739

Least Common Multiple of Numerators i.e. LCM of 3144,8739 is 9158472.

GCF of Denominators means GCF of 870,544 as per the given fractions.

GCF of 870,544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3144,8739

LCM of Fractions 3144/870,8739/544 is 4579236

3 3144, 8739
1048, 2913

∴ So the LCM of the given numbers is 3 x 1048 x 2913 = 9158472

Least Common Multiple of 3144,8739 with GCF Formula

Least Common Multiple of 3144,8739 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 3144,8739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3144,8739) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(3144,8739) x common factors =3 x 1 = 3

LCM(3144,8739) = ( 3144 × 8739 ) / 3

LCM(3144,8739) = 27475416 / 3

LCM(3144,8739) = 9158472


Lets's calculate GCF of 870,544

2 870, 544
435, 272

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9158472/2

Therefore the LCM of Fractions 3144/870,8739/544 is 4579236

Greatest Common Factor of 870,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,544 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

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

Greatest Common Factor

We found the factors 870,544 . The biggest common factor number is the GCF number.
So the greatest common factor 870,544 is 2.


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 3144/870, 8739/544

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 3144/870, 8739/544?

Answer: LCM of Numerators as per given numbers 3144/870, 8739/544 is

LCM of Numerators i.e. for 3144,8739 is 9158472

GCF of denominators i.e. for 870,544 is 2.

Thus, LCM of Fractions is 4579236.Finally, LCM of Fractions for 3144/870, 8739/544 is 4579236.