Least Common Multiple of 872/521, 5205/5172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/521, 5205/5172 quickly i.e. 4538760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/521, 5205/5172 is 4538760.

LCM(872/521, 5205/5172) = 4538760

LCM of 872/521, 5205/5172

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 872/521,5205/5172

Given numbers are 872/521,5205/5172

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 872,5205

Least Common Multiple of Numerators i.e. LCM of 872,5205 is 4538760.

GCF of Denominators means GCF of 521,5172 as per the given fractions.

GCF of 521,5172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,5205

LCM of Fractions 872/521,5205/5172 is 4538760

Given numbers has no common factors except 1. So, there LCM is their product i.e 4538760

Least Common Multiple of 872,5205 with GCF Formula

Least Common Multiple of 872,5205 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 872,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,5205) = 1

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

GCF(872,5205) x common factors =1 x 1 = 1

LCM(872,5205) = ( 872 × 5205 ) / 1

LCM(872,5205) = 4538760 / 1

LCM(872,5205) = 4538760


Lets's calculate GCF of 521,5172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4538760/1

Therefore the LCM of Fractions 872/521,5205/5172 is 4538760

Greatest Common Factor of 521,5172 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,5172 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

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 521,5172 . The biggest common factor number is the GCF number.
So the greatest common factor 521,5172 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 872/521, 5205/5172

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 872/521, 5205/5172?

Answer: LCM of Numerators as per given numbers 872/521, 5205/5172 is

LCM of Numerators i.e. for 872,5205 is 4538760

GCF of denominators i.e. for 521,5172 is 1.

Thus, LCM of Fractions is 4538760.Finally, LCM of Fractions for 872/521, 5205/5172 is 4538760.