Least Common Multiple of 60/109, 5269/6327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/109, 5269/6327 quickly i.e. 316140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/109, 5269/6327 is 316140.

LCM(60/109, 5269/6327) = 316140

LCM of 60/109, 5269/6327

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 60/109,5269/6327

Given numbers are 60/109,5269/6327

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 60,5269

Least Common Multiple of Numerators i.e. LCM of 60,5269 is 316140.

GCF of Denominators means GCF of 109,6327 as per the given fractions.

GCF of 109,6327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,5269

LCM of Fractions 60/109,5269/6327 is 316140

Given numbers has no common factors except 1. So, there LCM is their product i.e 316140

Least Common Multiple of 60,5269 with GCF Formula

Least Common Multiple of 60,5269 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 60,5269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,5269) = 1

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

GCF(60,5269) x common factors =1 x 1 = 1

LCM(60,5269) = ( 60 × 5269 ) / 1

LCM(60,5269) = 316140 / 1

LCM(60,5269) = 316140


Lets's calculate GCF of 109,6327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316140/1

Therefore the LCM of Fractions 60/109,5269/6327 is 316140

Greatest Common Factor of 109,6327 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,6327 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1,3,9,19,37,57,111,171,333,703,2109,6327

Greatest Common Factor

We found the factors 109,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 109,6327 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/109, 5269/6327

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 60/109, 5269/6327?

Answer: LCM of Numerators as per given numbers 60/109, 5269/6327 is

LCM of Numerators i.e. for 60,5269 is 316140

GCF of denominators i.e. for 109,6327 is 1.

Thus, LCM of Fractions is 316140.Finally, LCM of Fractions for 60/109, 5269/6327 is 316140.