Least Common Multiple of 558/94, 345/5254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 558/94, 345/5254 quickly i.e. 32085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/94, 345/5254 is 32085.

LCM(558/94, 345/5254) = 32085

LCM of 558/94, 345/5254

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 558/94,345/5254

Given numbers are 558/94,345/5254

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 558,345

Least Common Multiple of Numerators i.e. LCM of 558,345 is 64170.

GCF of Denominators means GCF of 94,5254 as per the given fractions.

GCF of 94,5254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,345

LCM of Fractions 558/94,345/5254 is 32085

3 558, 345
186, 115

∴ So the LCM of the given numbers is 3 x 186 x 115 = 64170

Least Common Multiple of 558,345 with GCF Formula

Least Common Multiple of 558,345 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 558,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,345) = 3

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

GCF(558,345) x common factors =3 x 1 = 3

LCM(558,345) = ( 558 × 345 ) / 3

LCM(558,345) = 192510 / 3

LCM(558,345) = 64170


Lets's calculate GCF of 94,5254

2 94, 5254
47, 2627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64170/2

Therefore the LCM of Fractions 558/94,345/5254 is 32085

Greatest Common Factor of 94,5254 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,5254 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1,2,37,71,74,142,2627,5254

Greatest Common Factor

We found the factors 94,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 94,5254 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 558/94, 345/5254

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 558/94, 345/5254?

Answer: LCM of Numerators as per given numbers 558/94, 345/5254 is

LCM of Numerators i.e. for 558,345 is 64170

GCF of denominators i.e. for 94,5254 is 2.

Thus, LCM of Fractions is 32085.Finally, LCM of Fractions for 558/94, 345/5254 is 32085.