Least Common Multiple of 87/542, 47/558, 708/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/542, 47/558, 708/242 quickly i.e. 482502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/542, 47/558, 708/242 is 482502.

LCM(87/542, 47/558, 708/242) = 482502

LCM of 87/542, 47/558, 708/242

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 87/542,47/558,708/242

Given numbers are 87/542,47/558,708/242

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 87,47,708

Least Common Multiple of Numerators i.e. LCM of 87,47,708 is 965004.

GCF of Denominators means GCF of 542,558,242 as per the given fractions.

GCF of 542,558,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,47,708

LCM of Fractions 87/542,47/558,708/242 is 482502

3 87, 47, 708
29, 47, 236

∴ So the LCM of the given numbers is 3 x 29 x 47 x 236 = 965004

Least Common Multiple of 87,47,708 with GCF Formula

Least Common Multiple of 87,47,708 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 87,47,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,47,708) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,47,708) x common factors =1 x 3 = 3

LCM(87,47,708) = ( 87 × 47 × 708 ) / 3

LCM(87,47,708) = 2895012 / 3

LCM(87,47,708) = 965004


Lets's calculate GCF of 542,558,242

2 542, 558, 242
271, 279, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 965004/2

Therefore the LCM of Fractions 87/542,47/558,708/242 is 482502

Greatest Common Factor of 542,558,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,558,242 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 542,558,242 . The biggest common factor number is the GCF number.
So the greatest common factor 542,558,242 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 87/542, 47/558, 708/242

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 87/542, 47/558, 708/242?

Answer: LCM of Numerators as per given numbers 87/542, 47/558, 708/242 is

LCM of Numerators i.e. for 87,47,708 is 965004

GCF of denominators i.e. for 542,558,242 is 2.

Thus, LCM of Fractions is 482502.Finally, LCM of Fractions for 87/542, 47/558, 708/242 is 482502.