Least Common Multiple of 521/44, 289/5172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/44, 289/5172 quickly i.e. 150569/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/44, 289/5172 is 150569/4.

LCM(521/44, 289/5172) = 150569/4

LCM of 521/44, 289/5172

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 521/44,289/5172

Given numbers are 521/44,289/5172

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 521,289

Least Common Multiple of Numerators i.e. LCM of 521,289 is 150569.

GCF of Denominators means GCF of 44,5172 as per the given fractions.

GCF of 44,5172 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,289

LCM of Fractions 521/44,289/5172 is 150569/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 150569

Least Common Multiple of 521,289 with GCF Formula

Least Common Multiple of 521,289 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 521,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,289) = 1

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

GCF(521,289) x common factors =1 x 1 = 1

LCM(521,289) = ( 521 × 289 ) / 1

LCM(521,289) = 150569 / 1

LCM(521,289) = 150569


Lets's calculate GCF of 44,5172

2 44, 5172
2 22, 2586
11, 1293

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150569/4

Therefore the LCM of Fractions 521/44,289/5172 is 150569/4

Greatest Common Factor of 44,5172 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,5172 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1,2,3,4,6,12,431,862,1293,1724,2586,5172

Greatest Common Factor

We found the factors 44,5172 . The biggest common factor number is the GCF number.
So the greatest common factor 44,5172 is 4.


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 521/44, 289/5172

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 521/44, 289/5172?

Answer: LCM of Numerators as per given numbers 521/44, 289/5172 is

LCM of Numerators i.e. for 521,289 is 150569

GCF of denominators i.e. for 44,5172 is 4.

Thus, LCM of Fractions is 150569/4.Finally, LCM of Fractions for 521/44, 289/5172 is 150569/4.