Least Common Multiple of 542/29, 926/6246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/29, 926/6246 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 542/29, 926/6246 is 250946.

LCM(542/29, 926/6246) = 250946

LCM of 542/29, 926/6246

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 542/29,926/6246

Given numbers are 542/29,926/6246

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 29,6246 as per the given fractions.

GCF of 29,6246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,926

LCM of Fractions 542/29,926/6246 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 29,6246

∴ 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 542/29,926/6246 is 250946

Greatest Common Factor of 29,6246 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,6246 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 6246

List of positive integer factors of 6246 that divides 6246 without a remainder.

1,2,3,6,9,18,347,694,1041,2082,3123,6246

Greatest Common Factor

We found the factors 29,6246 . The biggest common factor number is the GCF number.
So the greatest common factor 29,6246 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 542/29, 926/6246

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 542/29, 926/6246?

Answer: LCM of Numerators as per given numbers 542/29, 926/6246 is

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

GCF of denominators i.e. for 29,6246 is 1.

Thus, LCM of Fractions is 250946.Finally, LCM of Fractions for 542/29, 926/6246 is 250946.