Least Common Multiple of 542/79, 926/1853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 542/79, 926/1853 quickly i.e. 250946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/79, 926/1853 is 250946.

LCM(542/79, 926/1853) = 250946

LCM of 542/79, 926/1853

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 542/79,926/1853

Given numbers are 542/79,926/1853

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 542,926

Least Common Multiple of Numerators i.e. LCM of 542,926 is 250946.

GCF of Denominators means GCF of 79,1853 as per the given fractions.

GCF of 79,1853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,926

LCM of Fractions 542/79,926/1853 is 250946

2 542, 926
271, 463

∴ So the LCM of the given numbers is 2 x 271 x 463 = 250946

Least Common Multiple of 542,926 with GCF Formula

Least Common Multiple of 542,926 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 542,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,926) = 2

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

GCF(542,926) x common factors =2 x 1 = 2

LCM(542,926) = ( 542 × 926 ) / 2

LCM(542,926) = 501892 / 2

LCM(542,926) = 250946


Lets's calculate GCF of 79,1853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250946/1

Therefore the LCM of Fractions 542/79,926/1853 is 250946

Greatest Common Factor of 79,1853 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,1853 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 1853

List of positive integer factors of 1853 that divides 1853 without a remainder.

1,17,109,1853

Greatest Common Factor

We found the factors 79,1853 . The biggest common factor number is the GCF number.
So the greatest common factor 79,1853 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 542/79, 926/1853

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 542/79, 926/1853?

Answer: LCM of Numerators as per given numbers 542/79, 926/1853 is

LCM of Numerators i.e. for 542,926 is 250946

GCF of denominators i.e. for 79,1853 is 1.

Thus, LCM of Fractions is 250946.Finally, LCM of Fractions for 542/79, 926/1853 is 250946.