Least Common Multiple of 42/558, 76/702, 118/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/558, 76/702, 118/321 quickly i.e. 31388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/558, 76/702, 118/321 is 31388.

LCM(42/558, 76/702, 118/321) = 31388

LCM of 42/558, 76/702, 118/321

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 42/558,76/702,118/321

Given numbers are 42/558,76/702,118/321

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 42,76,118

Least Common Multiple of Numerators i.e. LCM of 42,76,118 is 94164.

GCF of Denominators means GCF of 558,702,321 as per the given fractions.

GCF of 558,702,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,76,118

LCM of Fractions 42/558,76/702,118/321 is 31388

2 42, 76, 118
21, 38, 59

∴ So the LCM of the given numbers is 2 x 21 x 38 x 59 = 94164

Least Common Multiple of 42,76,118 with GCF Formula

Least Common Multiple of 42,76,118 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 42,76,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,76,118) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(42,76,118) x common factors =2 x 2 = 4

LCM(42,76,118) = ( 42 × 76 × 118 ) / 4

LCM(42,76,118) = 376656 / 4

LCM(42,76,118) = 94164


Lets's calculate GCF of 558,702,321

3 558, 702, 321
186, 234, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94164/3

Therefore the LCM of Fractions 42/558,76/702,118/321 is 31388

Greatest Common Factor of 558,702,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,702,321 By Matching Biggest Common Factor Method

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 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 558,702,321 . The biggest common factor number is the GCF number.
So the greatest common factor 558,702,321 is 3.


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 42/558, 76/702, 118/321

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 42/558, 76/702, 118/321?

Answer: LCM of Numerators as per given numbers 42/558, 76/702, 118/321 is

LCM of Numerators i.e. for 42,76,118 is 94164

GCF of denominators i.e. for 558,702,321 is 3.

Thus, LCM of Fractions is 31388.Finally, LCM of Fractions for 42/558, 76/702, 118/321 is 31388.