Least Common Multiple of 8408/538, 5424/7989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8408/538, 5424/7989 quickly i.e. 5700624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8408/538, 5424/7989 is 5700624.

LCM(8408/538, 5424/7989) = 5700624

LCM of 8408/538, 5424/7989

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 8408/538,5424/7989

Given numbers are 8408/538,5424/7989

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 8408,5424

Least Common Multiple of Numerators i.e. LCM of 8408,5424 is 5700624.

GCF of Denominators means GCF of 538,7989 as per the given fractions.

GCF of 538,7989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8408,5424

LCM of Fractions 8408/538,5424/7989 is 5700624

2 8408, 5424
2 4204, 2712
2 2102, 1356
1051, 678

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1051 x 678 = 5700624

Least Common Multiple of 8408,5424 with GCF Formula

Least Common Multiple of 8408,5424 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 8408,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8408,5424) = 8

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

GCF(8408,5424) x common factors =8 x 1 = 8

LCM(8408,5424) = ( 8408 × 5424 ) / 8

LCM(8408,5424) = 45604992 / 8

LCM(8408,5424) = 5700624


Lets's calculate GCF of 538,7989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5700624/1

Therefore the LCM of Fractions 8408/538,5424/7989 is 5700624

Greatest Common Factor of 538,7989 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,7989 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 7989

List of positive integer factors of 7989 that divides 7989 without a remainder.

1,3,2663,7989

Greatest Common Factor

We found the factors 538,7989 . The biggest common factor number is the GCF number.
So the greatest common factor 538,7989 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 8408/538, 5424/7989

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 8408/538, 5424/7989?

Answer: LCM of Numerators as per given numbers 8408/538, 5424/7989 is

LCM of Numerators i.e. for 8408,5424 is 5700624

GCF of denominators i.e. for 538,7989 is 1.

Thus, LCM of Fractions is 5700624.Finally, LCM of Fractions for 8408/538, 5424/7989 is 5700624.