Least Common Multiple of 542/506, 814/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/506, 814/642 quickly i.e. 110297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/506, 814/642 is 110297.

LCM(542/506, 814/642) = 110297

LCM of 542/506, 814/642

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 542/506,814/642

Given numbers are 542/506,814/642

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 542,814

Least Common Multiple of Numerators i.e. LCM of 542,814 is 220594.

GCF of Denominators means GCF of 506,642 as per the given fractions.

GCF of 506,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,814

LCM of Fractions 542/506,814/642 is 110297

2 542, 814
271, 407

∴ So the LCM of the given numbers is 2 x 271 x 407 = 220594

Least Common Multiple of 542,814 with GCF Formula

Least Common Multiple of 542,814 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 542,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,814) = 2

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

GCF(542,814) x common factors =2 x 1 = 2

LCM(542,814) = ( 542 × 814 ) / 2

LCM(542,814) = 441188 / 2

LCM(542,814) = 220594


Lets's calculate GCF of 506,642

2 506, 642
253, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220594/2

Therefore the LCM of Fractions 542/506,814/642 is 110297

Greatest Common Factor of 506,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,642 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 506,642 . The biggest common factor number is the GCF number.
So the greatest common factor 506,642 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 542/506, 814/642

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 542/506, 814/642?

Answer: LCM of Numerators as per given numbers 542/506, 814/642 is

LCM of Numerators i.e. for 542,814 is 220594

GCF of denominators i.e. for 506,642 is 2.

Thus, LCM of Fractions is 110297.Finally, LCM of Fractions for 542/506, 814/642 is 110297.