Least Common Multiple of 76/968, 271/779, 560/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/968, 271/779, 560/190 quickly i.e. 2883440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/968, 271/779, 560/190 is 2883440.

LCM(76/968, 271/779, 560/190) = 2883440

LCM of 76/968, 271/779, 560/190

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 76/968,271/779,560/190

Given numbers are 76/968,271/779,560/190

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 76,271,560

Least Common Multiple of Numerators i.e. LCM of 76,271,560 is 2883440.

GCF of Denominators means GCF of 968,779,190 as per the given fractions.

GCF of 968,779,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,271,560

LCM of Fractions 76/968,271/779,560/190 is 2883440

2 76, 271, 560
2 38, 271, 280
19, 271, 140

∴ So the LCM of the given numbers is 2 x 2 x 19 x 271 x 140 = 2883440

Least Common Multiple of 76,271,560 with GCF Formula

Least Common Multiple of 76,271,560 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 76,271,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,271,560) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,271,560) x common factors =1 x 4 = 4

LCM(76,271,560) = ( 76 × 271 × 560 ) / 4

LCM(76,271,560) = 11533760 / 4

LCM(76,271,560) = 2883440


Lets's calculate GCF of 968,779,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2883440/1

Therefore the LCM of Fractions 76/968,271/779,560/190 is 2883440

Greatest Common Factor of 968,779,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,779,190 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 968,779,190 . The biggest common factor number is the GCF number.
So the greatest common factor 968,779,190 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 76/968, 271/779, 560/190

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 76/968, 271/779, 560/190?

Answer: LCM of Numerators as per given numbers 76/968, 271/779, 560/190 is

LCM of Numerators i.e. for 76,271,560 is 2883440

GCF of denominators i.e. for 968,779,190 is 1.

Thus, LCM of Fractions is 2883440.Finally, LCM of Fractions for 76/968, 271/779, 560/190 is 2883440.