Least Common Multiple of 13/548, 5454/9178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/548, 5454/9178 quickly i.e. 35451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/548, 5454/9178 is 35451.

LCM(13/548, 5454/9178) = 35451

LCM of 13/548, 5454/9178

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 13/548,5454/9178

Given numbers are 13/548,5454/9178

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 13,5454

Least Common Multiple of Numerators i.e. LCM of 13,5454 is 70902.

GCF of Denominators means GCF of 548,9178 as per the given fractions.

GCF of 548,9178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,5454

LCM of Fractions 13/548,5454/9178 is 35451

Given numbers has no common factors except 1. So, there LCM is their product i.e 70902

Least Common Multiple of 13,5454 with GCF Formula

Least Common Multiple of 13,5454 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 13,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,5454) = 1

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

GCF(13,5454) x common factors =1 x 1 = 1

LCM(13,5454) = ( 13 × 5454 ) / 1

LCM(13,5454) = 70902 / 1

LCM(13,5454) = 70902


Lets's calculate GCF of 548,9178

2 548, 9178
274, 4589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70902/2

Therefore the LCM of Fractions 13/548,5454/9178 is 35451

Greatest Common Factor of 548,9178 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,9178 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1,2,13,26,353,706,4589,9178

Greatest Common Factor

We found the factors 548,9178 . The biggest common factor number is the GCF number.
So the greatest common factor 548,9178 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/548, 5454/9178

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 13/548, 5454/9178?

Answer: LCM of Numerators as per given numbers 13/548, 5454/9178 is

LCM of Numerators i.e. for 13,5454 is 70902

GCF of denominators i.e. for 548,9178 is 2.

Thus, LCM of Fractions is 35451.Finally, LCM of Fractions for 13/548, 5454/9178 is 35451.