Least Common Multiple of 60/780, 323/404, 959/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/780, 323/404, 959/299 quickly i.e. 18585420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/780, 323/404, 959/299 is 18585420.

LCM(60/780, 323/404, 959/299) = 18585420

LCM of 60/780, 323/404, 959/299

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 60/780,323/404,959/299

Given numbers are 60/780,323/404,959/299

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 60,323,959

Least Common Multiple of Numerators i.e. LCM of 60,323,959 is 18585420.

GCF of Denominators means GCF of 780,404,299 as per the given fractions.

GCF of 780,404,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,323,959

LCM of Fractions 60/780,323/404,959/299 is 18585420

Given numbers has no common factors except 1. So, there LCM is their product i.e 18585420

Least Common Multiple of 60,323,959 with GCF Formula

Least Common Multiple of 60,323,959 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 60,323,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,323,959) = 1

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

GCF(60,323,959) x common factors =1 x 1 = 1

LCM(60,323,959) = ( 60 × 323 × 959 ) / 1

LCM(60,323,959) = 18585420 / 1

LCM(60,323,959) = 18585420


Lets's calculate GCF of 780,404,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18585420/1

Therefore the LCM of Fractions 60/780,323/404,959/299 is 18585420

Greatest Common Factor of 780,404,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,404,299 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 780,404,299 . The biggest common factor number is the GCF number.
So the greatest common factor 780,404,299 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 60/780, 323/404, 959/299

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 60/780, 323/404, 959/299?

Answer: LCM of Numerators as per given numbers 60/780, 323/404, 959/299 is

LCM of Numerators i.e. for 60,323,959 is 18585420

GCF of denominators i.e. for 780,404,299 is 1.

Thus, LCM of Fractions is 18585420.Finally, LCM of Fractions for 60/780, 323/404, 959/299 is 18585420.