Least Common Multiple of 6898/279, 9577/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6898/279, 9577/125 quickly i.e. 66062146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6898/279, 9577/125 is 66062146.

LCM(6898/279, 9577/125) = 66062146

LCM of 6898/279, 9577/125

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 6898/279,9577/125

Given numbers are 6898/279,9577/125

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 6898,9577

Least Common Multiple of Numerators i.e. LCM of 6898,9577 is 66062146.

GCF of Denominators means GCF of 279,125 as per the given fractions.

GCF of 279,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6898,9577

LCM of Fractions 6898/279,9577/125 is 66062146

Given numbers has no common factors except 1. So, there LCM is their product i.e 66062146

Least Common Multiple of 6898,9577 with GCF Formula

Least Common Multiple of 6898,9577 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 6898,9577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6898,9577) = 1

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

GCF(6898,9577) x common factors =1 x 1 = 1

LCM(6898,9577) = ( 6898 × 9577 ) / 1

LCM(6898,9577) = 66062146 / 1

LCM(6898,9577) = 66062146


Lets's calculate GCF of 279,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66062146/1

Therefore the LCM of Fractions 6898/279,9577/125 is 66062146

Greatest Common Factor of 279,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,125 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 279,125 . The biggest common factor number is the GCF number.
So the greatest common factor 279,125 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 6898/279, 9577/125

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 6898/279, 9577/125?

Answer: LCM of Numerators as per given numbers 6898/279, 9577/125 is

LCM of Numerators i.e. for 6898,9577 is 66062146

GCF of denominators i.e. for 279,125 is 1.

Thus, LCM of Fractions is 66062146.Finally, LCM of Fractions for 6898/279, 9577/125 is 66062146.