Least Common Multiple of 76/510, 726/932, 968/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/510, 726/932, 968/423 quickly i.e. 55176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/510, 726/932, 968/423 is 55176.

LCM(76/510, 726/932, 968/423) = 55176

LCM of 76/510, 726/932, 968/423

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 76/510,726/932,968/423

Given numbers are 76/510,726/932,968/423

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 76,726,968

Least Common Multiple of Numerators i.e. LCM of 76,726,968 is 55176.

GCF of Denominators means GCF of 510,932,423 as per the given fractions.

GCF of 510,932,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,726,968

LCM of Fractions 76/510,726/932,968/423 is 55176

2 76, 726, 968
2 38, 363, 484
11 19, 363, 242
11 19, 33, 22
19, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 11 x 11 x 19 x 3 x 2 = 55176

Least Common Multiple of 76,726,968 with GCF Formula

Least Common Multiple of 76,726,968 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 76,726,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,726,968) = 2

common factors(in case of two or more numbers have common factors) = 484

GCF(76,726,968) x common factors =2 x 484 = 968

LCM(76,726,968) = ( 76 × 726 × 968 ) / 968

LCM(76,726,968) = 53410368 / 968

LCM(76,726,968) = 55176


Lets's calculate GCF of 510,932,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55176/1

Therefore the LCM of Fractions 76/510,726/932,968/423 is 55176

Greatest Common Factor of 510,932,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,932,423 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 510,932,423 . The biggest common factor number is the GCF number.
So the greatest common factor 510,932,423 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 76/510, 726/932, 968/423

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 76/510, 726/932, 968/423?

Answer: LCM of Numerators as per given numbers 76/510, 726/932, 968/423 is

LCM of Numerators i.e. for 76,726,968 is 55176

GCF of denominators i.e. for 510,932,423 is 1.

Thus, LCM of Fractions is 55176.Finally, LCM of Fractions for 76/510, 726/932, 968/423 is 55176.