Least Common Multiple of 549/72, 292/5124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/72, 292/5124 quickly i.e. 13359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/72, 292/5124 is 13359.

LCM(549/72, 292/5124) = 13359

LCM of 549/72, 292/5124

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 549/72,292/5124

Given numbers are 549/72,292/5124

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 549,292

Least Common Multiple of Numerators i.e. LCM of 549,292 is 160308.

GCF of Denominators means GCF of 72,5124 as per the given fractions.

GCF of 72,5124 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,292

LCM of Fractions 549/72,292/5124 is 13359

Given numbers has no common factors except 1. So, there LCM is their product i.e 160308

Least Common Multiple of 549,292 with GCF Formula

Least Common Multiple of 549,292 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 549,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,292) = 1

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

GCF(549,292) x common factors =1 x 1 = 1

LCM(549,292) = ( 549 × 292 ) / 1

LCM(549,292) = 160308 / 1

LCM(549,292) = 160308


Lets's calculate GCF of 72,5124

2 72, 5124
2 36, 2562
3 18, 1281
6, 427

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160308/12

Therefore the LCM of Fractions 549/72,292/5124 is 13359

Greatest Common Factor of 72,5124 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5124 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Greatest Common Factor

We found the factors 72,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5124 is 12.


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 549/72, 292/5124

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 549/72, 292/5124?

Answer: LCM of Numerators as per given numbers 549/72, 292/5124 is

LCM of Numerators i.e. for 549,292 is 160308

GCF of denominators i.e. for 72,5124 is 12.

Thus, LCM of Fractions is 13359.Finally, LCM of Fractions for 549/72, 292/5124 is 13359.