Least Common Multiple of 8760/392, 6543/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8760/392, 6543/152 quickly i.e. 2388195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8760/392, 6543/152 is 2388195.

LCM(8760/392, 6543/152) = 2388195

LCM of 8760/392, 6543/152

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 8760/392,6543/152

Given numbers are 8760/392,6543/152

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 8760,6543

Least Common Multiple of Numerators i.e. LCM of 8760,6543 is 19105560.

GCF of Denominators means GCF of 392,152 as per the given fractions.

GCF of 392,152 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8760,6543

LCM of Fractions 8760/392,6543/152 is 2388195

3 8760, 6543
2920, 2181

∴ So the LCM of the given numbers is 3 x 2920 x 2181 = 19105560

Least Common Multiple of 8760,6543 with GCF Formula

Least Common Multiple of 8760,6543 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 8760,6543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8760,6543) = 3

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

GCF(8760,6543) x common factors =3 x 1 = 3

LCM(8760,6543) = ( 8760 × 6543 ) / 3

LCM(8760,6543) = 57316680 / 3

LCM(8760,6543) = 19105560


Lets's calculate GCF of 392,152

2 392, 152
2 196, 76
2 98, 38
49, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19105560/8

Therefore the LCM of Fractions 8760/392,6543/152 is 2388195

Greatest Common Factor of 392,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,152 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 392,152 . The biggest common factor number is the GCF number.
So the greatest common factor 392,152 is 8.


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 8760/392, 6543/152

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 8760/392, 6543/152?

Answer: LCM of Numerators as per given numbers 8760/392, 6543/152 is

LCM of Numerators i.e. for 8760,6543 is 19105560

GCF of denominators i.e. for 392,152 is 8.

Thus, LCM of Fractions is 2388195.Finally, LCM of Fractions for 8760/392, 6543/152 is 2388195.