Least Common Multiple of 51/96, 811/14, 220/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/96, 811/14, 220/780 quickly i.e. 4549710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/96, 811/14, 220/780 is 4549710.

LCM(51/96, 811/14, 220/780) = 4549710

LCM of 51/96, 811/14, 220/780

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 51/96,811/14,220/780

Given numbers are 51/96,811/14,220/780

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 51,811,220

Least Common Multiple of Numerators i.e. LCM of 51,811,220 is 9099420.

GCF of Denominators means GCF of 96,14,780 as per the given fractions.

GCF of 96,14,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,811,220

LCM of Fractions 51/96,811/14,220/780 is 4549710

Given numbers has no common factors except 1. So, there LCM is their product i.e 9099420

Least Common Multiple of 51,811,220 with GCF Formula

Least Common Multiple of 51,811,220 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 51,811,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,811,220) = 1

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

GCF(51,811,220) x common factors =1 x 1 = 1

LCM(51,811,220) = ( 51 × 811 × 220 ) / 1

LCM(51,811,220) = 9099420 / 1

LCM(51,811,220) = 9099420


Lets's calculate GCF of 96,14,780

2 96, 14, 780
48, 7, 390

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9099420/2

Therefore the LCM of Fractions 51/96,811/14,220/780 is 4549710

Greatest Common Factor of 96,14,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,14,780 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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

Greatest Common Factor

We found the factors 96,14,780 . The biggest common factor number is the GCF number.
So the greatest common factor 96,14,780 is 2.


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 51/96, 811/14, 220/780

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 51/96, 811/14, 220/780?

Answer: LCM of Numerators as per given numbers 51/96, 811/14, 220/780 is

LCM of Numerators i.e. for 51,811,220 is 9099420

GCF of denominators i.e. for 96,14,780 is 2.

Thus, LCM of Fractions is 4549710.Finally, LCM of Fractions for 51/96, 811/14, 220/780 is 4549710.