Least Common Multiple of 56/992, 393/318, 979/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/992, 393/318, 979/334 quickly i.e. 10772916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/992, 393/318, 979/334 is 10772916.

LCM(56/992, 393/318, 979/334) = 10772916

LCM of 56/992, 393/318, 979/334

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 56/992,393/318,979/334

Given numbers are 56/992,393/318,979/334

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 56,393,979

Least Common Multiple of Numerators i.e. LCM of 56,393,979 is 21545832.

GCF of Denominators means GCF of 992,318,334 as per the given fractions.

GCF of 992,318,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,393,979

LCM of Fractions 56/992,393/318,979/334 is 10772916

Given numbers has no common factors except 1. So, there LCM is their product i.e 21545832

Least Common Multiple of 56,393,979 with GCF Formula

Least Common Multiple of 56,393,979 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 56,393,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,393,979) = 1

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

GCF(56,393,979) x common factors =1 x 1 = 1

LCM(56,393,979) = ( 56 × 393 × 979 ) / 1

LCM(56,393,979) = 21545832 / 1

LCM(56,393,979) = 21545832


Lets's calculate GCF of 992,318,334

2 992, 318, 334
496, 159, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21545832/2

Therefore the LCM of Fractions 56/992,393/318,979/334 is 10772916

Greatest Common Factor of 992,318,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,318,334 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 992,318,334 . The biggest common factor number is the GCF number.
So the greatest common factor 992,318,334 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 56/992, 393/318, 979/334

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 56/992, 393/318, 979/334?

Answer: LCM of Numerators as per given numbers 56/992, 393/318, 979/334 is

LCM of Numerators i.e. for 56,393,979 is 21545832

GCF of denominators i.e. for 992,318,334 is 2.

Thus, LCM of Fractions is 10772916.Finally, LCM of Fractions for 56/992, 393/318, 979/334 is 10772916.