Least Common Multiple of 558/54, 125/7570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 558/54, 125/7570 quickly i.e. 34875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/54, 125/7570 is 34875.

LCM(558/54, 125/7570) = 34875

LCM of 558/54, 125/7570

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 558/54,125/7570

Given numbers are 558/54,125/7570

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 558,125

Least Common Multiple of Numerators i.e. LCM of 558,125 is 69750.

GCF of Denominators means GCF of 54,7570 as per the given fractions.

GCF of 54,7570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,125

LCM of Fractions 558/54,125/7570 is 34875

Given numbers has no common factors except 1. So, there LCM is their product i.e 69750

Least Common Multiple of 558,125 with GCF Formula

Least Common Multiple of 558,125 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 558,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,125) = 1

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

GCF(558,125) x common factors =1 x 1 = 1

LCM(558,125) = ( 558 × 125 ) / 1

LCM(558,125) = 69750 / 1

LCM(558,125) = 69750


Lets's calculate GCF of 54,7570

2 54, 7570
27, 3785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69750/2

Therefore the LCM of Fractions 558/54,125/7570 is 34875

Greatest Common Factor of 54,7570 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7570 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1,2,5,10,757,1514,3785,7570

Greatest Common Factor

We found the factors 54,7570 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7570 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 558/54, 125/7570

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 558/54, 125/7570?

Answer: LCM of Numerators as per given numbers 558/54, 125/7570 is

LCM of Numerators i.e. for 558,125 is 69750

GCF of denominators i.e. for 54,7570 is 2.

Thus, LCM of Fractions is 34875.Finally, LCM of Fractions for 558/54, 125/7570 is 34875.