Least Common Multiple of 798/511, 2157/9942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/511, 2157/9942 quickly i.e. 573762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/511, 2157/9942 is 573762.

LCM(798/511, 2157/9942) = 573762

LCM of 798/511, 2157/9942

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 798/511,2157/9942

Given numbers are 798/511,2157/9942

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 798,2157

Least Common Multiple of Numerators i.e. LCM of 798,2157 is 573762.

GCF of Denominators means GCF of 511,9942 as per the given fractions.

GCF of 511,9942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,2157

LCM of Fractions 798/511,2157/9942 is 573762

3 798, 2157
266, 719

∴ So the LCM of the given numbers is 3 x 266 x 719 = 573762

Least Common Multiple of 798,2157 with GCF Formula

Least Common Multiple of 798,2157 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 798,2157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,2157) = 3

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

GCF(798,2157) x common factors =3 x 1 = 3

LCM(798,2157) = ( 798 × 2157 ) / 3

LCM(798,2157) = 1721286 / 3

LCM(798,2157) = 573762


Lets's calculate GCF of 511,9942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 573762/1

Therefore the LCM of Fractions 798/511,2157/9942 is 573762

Greatest Common Factor of 511,9942 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,9942 By Matching Biggest Common Factor Method

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Greatest Common Factor

We found the factors 511,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 511,9942 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 798/511, 2157/9942

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 798/511, 2157/9942?

Answer: LCM of Numerators as per given numbers 798/511, 2157/9942 is

LCM of Numerators i.e. for 798,2157 is 573762

GCF of denominators i.e. for 511,9942 is 1.

Thus, LCM of Fractions is 573762.Finally, LCM of Fractions for 798/511, 2157/9942 is 573762.