Least Common Multiple of 792/557, 7098/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 792/557, 7098/722 quickly i.e. 936936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/557, 7098/722 is 936936.

LCM(792/557, 7098/722) = 936936

LCM of 792/557, 7098/722

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 792/557,7098/722

Given numbers are 792/557,7098/722

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 792,7098

Least Common Multiple of Numerators i.e. LCM of 792,7098 is 936936.

GCF of Denominators means GCF of 557,722 as per the given fractions.

GCF of 557,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,7098

LCM of Fractions 792/557,7098/722 is 936936

2 792, 7098
3 396, 3549
132, 1183

∴ So the LCM of the given numbers is 2 x 3 x 132 x 1183 = 936936

Least Common Multiple of 792,7098 with GCF Formula

Least Common Multiple of 792,7098 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 792,7098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,7098) = 6

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

GCF(792,7098) x common factors =6 x 1 = 6

LCM(792,7098) = ( 792 × 7098 ) / 6

LCM(792,7098) = 5621616 / 6

LCM(792,7098) = 936936


Lets's calculate GCF of 557,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 936936/1

Therefore the LCM of Fractions 792/557,7098/722 is 936936

Greatest Common Factor of 557,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,722 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 557,722 . The biggest common factor number is the GCF number.
So the greatest common factor 557,722 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 792/557, 7098/722

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 792/557, 7098/722?

Answer: LCM of Numerators as per given numbers 792/557, 7098/722 is

LCM of Numerators i.e. for 792,7098 is 936936

GCF of denominators i.e. for 557,722 is 1.

Thus, LCM of Fractions is 936936.Finally, LCM of Fractions for 792/557, 7098/722 is 936936.