Least Common Multiple of 7956/76, 7021/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7956/76, 7021/923 quickly i.e. 3285828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7956/76, 7021/923 is 3285828.

LCM(7956/76, 7021/923) = 3285828

LCM of 7956/76, 7021/923

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 7956/76,7021/923

Given numbers are 7956/76,7021/923

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 7956,7021

Least Common Multiple of Numerators i.e. LCM of 7956,7021 is 3285828.

GCF of Denominators means GCF of 76,923 as per the given fractions.

GCF of 76,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7956,7021

LCM of Fractions 7956/76,7021/923 is 3285828

17 7956, 7021
468, 413

∴ So the LCM of the given numbers is 17 x 468 x 413 = 3285828

Least Common Multiple of 7956,7021 with GCF Formula

Least Common Multiple of 7956,7021 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 7956,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7956,7021) = 17

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

GCF(7956,7021) x common factors =17 x 1 = 17

LCM(7956,7021) = ( 7956 × 7021 ) / 17

LCM(7956,7021) = 55859076 / 17

LCM(7956,7021) = 3285828


Lets's calculate GCF of 76,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3285828/1

Therefore the LCM of Fractions 7956/76,7021/923 is 3285828

Greatest Common Factor of 76,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,923 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 76,923 . The biggest common factor number is the GCF number.
So the greatest common factor 76,923 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 7956/76, 7021/923

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 7956/76, 7021/923?

Answer: LCM of Numerators as per given numbers 7956/76, 7021/923 is

LCM of Numerators i.e. for 7956,7021 is 3285828

GCF of denominators i.e. for 76,923 is 1.

Thus, LCM of Fractions is 3285828.Finally, LCM of Fractions for 7956/76, 7021/923 is 3285828.