Least Common Multiple of 5139/80, 1548/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5139/80, 1548/904 quickly i.e. 883908/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5139/80, 1548/904 is 883908/8.

LCM(5139/80, 1548/904) = 883908/8

LCM of 5139/80, 1548/904

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 5139/80,1548/904

Given numbers are 5139/80,1548/904

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 5139,1548

Least Common Multiple of Numerators i.e. LCM of 5139,1548 is 883908.

GCF of Denominators means GCF of 80,904 as per the given fractions.

GCF of 80,904 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5139,1548

LCM of Fractions 5139/80,1548/904 is 883908/8

3 5139, 1548
3 1713, 516
571, 172

∴ So the LCM of the given numbers is 3 x 3 x 571 x 172 = 883908

Least Common Multiple of 5139,1548 with GCF Formula

Least Common Multiple of 5139,1548 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 5139,1548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5139,1548) = 9

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

GCF(5139,1548) x common factors =9 x 1 = 9

LCM(5139,1548) = ( 5139 × 1548 ) / 9

LCM(5139,1548) = 7955172 / 9

LCM(5139,1548) = 883908


Lets's calculate GCF of 80,904

2 80, 904
2 40, 452
2 20, 226
10, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883908/8

Therefore the LCM of Fractions 5139/80,1548/904 is 883908/8

Greatest Common Factor of 80,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,904 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 80,904 . The biggest common factor number is the GCF number.
So the greatest common factor 80,904 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5139/80, 1548/904

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 5139/80, 1548/904?

Answer: LCM of Numerators as per given numbers 5139/80, 1548/904 is

LCM of Numerators i.e. for 5139,1548 is 883908

GCF of denominators i.e. for 80,904 is 8.

Thus, LCM of Fractions is 883908/8.Finally, LCM of Fractions for 5139/80, 1548/904 is 883908/8.