Least Common Multiple of 561/780, 1476/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/780, 1476/963 quickly i.e. 92004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/780, 1476/963 is 92004.

LCM(561/780, 1476/963) = 92004

LCM of 561/780, 1476/963

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 561/780,1476/963

Given numbers are 561/780,1476/963

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 561,1476

Least Common Multiple of Numerators i.e. LCM of 561,1476 is 276012.

GCF of Denominators means GCF of 780,963 as per the given fractions.

GCF of 780,963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,1476

LCM of Fractions 561/780,1476/963 is 92004

3 561, 1476
187, 492

∴ So the LCM of the given numbers is 3 x 187 x 492 = 276012

Least Common Multiple of 561,1476 with GCF Formula

Least Common Multiple of 561,1476 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 561,1476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,1476) = 3

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

GCF(561,1476) x common factors =3 x 1 = 3

LCM(561,1476) = ( 561 × 1476 ) / 3

LCM(561,1476) = 828036 / 3

LCM(561,1476) = 276012


Lets's calculate GCF of 780,963

3 780, 963
260, 321

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276012/3

Therefore the LCM of Fractions 561/780,1476/963 is 92004

Greatest Common Factor of 780,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,963 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 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 780,963 . The biggest common factor number is the GCF number.
So the greatest common factor 780,963 is 3.


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 561/780, 1476/963

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 561/780, 1476/963?

Answer: LCM of Numerators as per given numbers 561/780, 1476/963 is

LCM of Numerators i.e. for 561,1476 is 276012

GCF of denominators i.e. for 780,963 is 3.

Thus, LCM of Fractions is 92004.Finally, LCM of Fractions for 561/780, 1476/963 is 92004.