Least Common Multiple of 13/364, 5554/2689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/364, 5554/2689 quickly i.e. 72202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/364, 5554/2689 is 72202.

LCM(13/364, 5554/2689) = 72202

LCM of 13/364, 5554/2689

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 13/364,5554/2689

Given numbers are 13/364,5554/2689

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 13,5554

Least Common Multiple of Numerators i.e. LCM of 13,5554 is 72202.

GCF of Denominators means GCF of 364,2689 as per the given fractions.

GCF of 364,2689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,5554

LCM of Fractions 13/364,5554/2689 is 72202

Given numbers has no common factors except 1. So, there LCM is their product i.e 72202

Least Common Multiple of 13,5554 with GCF Formula

Least Common Multiple of 13,5554 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 13,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,5554) = 1

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

GCF(13,5554) x common factors =1 x 1 = 1

LCM(13,5554) = ( 13 × 5554 ) / 1

LCM(13,5554) = 72202 / 1

LCM(13,5554) = 72202


Lets's calculate GCF of 364,2689

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72202/1

Therefore the LCM of Fractions 13/364,5554/2689 is 72202

Greatest Common Factor of 364,2689 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,2689 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1,2689

Greatest Common Factor

We found the factors 364,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 364,2689 is 1.


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 13/364, 5554/2689

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 13/364, 5554/2689?

Answer: LCM of Numerators as per given numbers 13/364, 5554/2689 is

LCM of Numerators i.e. for 13,5554 is 72202

GCF of denominators i.e. for 364,2689 is 1.

Thus, LCM of Fractions is 72202.Finally, LCM of Fractions for 13/364, 5554/2689 is 72202.