Least Common Multiple of 8915/123, 9544/8978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8915/123, 9544/8978 quickly i.e. 85084760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8915/123, 9544/8978 is 85084760.

LCM(8915/123, 9544/8978) = 85084760

LCM of 8915/123, 9544/8978

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 8915/123,9544/8978

Given numbers are 8915/123,9544/8978

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 8915,9544

Least Common Multiple of Numerators i.e. LCM of 8915,9544 is 85084760.

GCF of Denominators means GCF of 123,8978 as per the given fractions.

GCF of 123,8978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8915,9544

LCM of Fractions 8915/123,9544/8978 is 85084760

Given numbers has no common factors except 1. So, there LCM is their product i.e 85084760

Least Common Multiple of 8915,9544 with GCF Formula

Least Common Multiple of 8915,9544 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 8915,9544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8915,9544) = 1

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

GCF(8915,9544) x common factors =1 x 1 = 1

LCM(8915,9544) = ( 8915 × 9544 ) / 1

LCM(8915,9544) = 85084760 / 1

LCM(8915,9544) = 85084760


Lets's calculate GCF of 123,8978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85084760/1

Therefore the LCM of Fractions 8915/123,9544/8978 is 85084760

Greatest Common Factor of 123,8978 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,8978 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 123,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 123,8978 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 8915/123, 9544/8978

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 8915/123, 9544/8978?

Answer: LCM of Numerators as per given numbers 8915/123, 9544/8978 is

LCM of Numerators i.e. for 8915,9544 is 85084760

GCF of denominators i.e. for 123,8978 is 1.

Thus, LCM of Fractions is 85084760.Finally, LCM of Fractions for 8915/123, 9544/8978 is 85084760.