Least Common Multiple of 5344/156, 6142/1326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5344/156, 6142/1326 quickly i.e. 16411424/78 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5344/156, 6142/1326 is 16411424/78.

LCM(5344/156, 6142/1326) = 16411424/78

LCM of 5344/156, 6142/1326

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 5344/156,6142/1326

Given numbers are 5344/156,6142/1326

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 5344,6142

Least Common Multiple of Numerators i.e. LCM of 5344,6142 is 16411424.

GCF of Denominators means GCF of 156,1326 as per the given fractions.

GCF of 156,1326 is 78 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5344,6142

LCM of Fractions 5344/156,6142/1326 is 16411424/78

2 5344, 6142
2672, 3071

∴ So the LCM of the given numbers is 2 x 2672 x 3071 = 16411424

Least Common Multiple of 5344,6142 with GCF Formula

Least Common Multiple of 5344,6142 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 5344,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5344,6142) = 2

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

GCF(5344,6142) x common factors =2 x 1 = 2

LCM(5344,6142) = ( 5344 × 6142 ) / 2

LCM(5344,6142) = 32822848 / 2

LCM(5344,6142) = 16411424


Lets's calculate GCF of 156,1326

2 156, 1326
3 78, 663
13 26, 221
2, 17

∴ So the GCF of the given numbers is 2 x 3 x 13 = 78

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16411424/78

Therefore the LCM of Fractions 5344/156,6142/1326 is 16411424/78

Greatest Common Factor of 156,1326 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,1326 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Greatest Common Factor

We found the factors 156,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 156,1326 is 78.


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 5344/156, 6142/1326

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 5344/156, 6142/1326?

Answer: LCM of Numerators as per given numbers 5344/156, 6142/1326 is

LCM of Numerators i.e. for 5344,6142 is 16411424

GCF of denominators i.e. for 156,1326 is 78.

Thus, LCM of Fractions is 16411424/78.Finally, LCM of Fractions for 5344/156, 6142/1326 is 16411424/78.