Least Common Multiple of 872/42, 583/5252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/42, 583/5252 quickly i.e. 254188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/42, 583/5252 is 254188.

LCM(872/42, 583/5252) = 254188

LCM of 872/42, 583/5252

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 872/42,583/5252

Given numbers are 872/42,583/5252

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 872,583

Least Common Multiple of Numerators i.e. LCM of 872,583 is 508376.

GCF of Denominators means GCF of 42,5252 as per the given fractions.

GCF of 42,5252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,583

LCM of Fractions 872/42,583/5252 is 254188

Given numbers has no common factors except 1. So, there LCM is their product i.e 508376

Least Common Multiple of 872,583 with GCF Formula

Least Common Multiple of 872,583 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 872,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,583) = 1

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

GCF(872,583) x common factors =1 x 1 = 1

LCM(872,583) = ( 872 × 583 ) / 1

LCM(872,583) = 508376 / 1

LCM(872,583) = 508376


Lets's calculate GCF of 42,5252

2 42, 5252
21, 2626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508376/2

Therefore the LCM of Fractions 872/42,583/5252 is 254188

Greatest Common Factor of 42,5252 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5252 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1,2,4,13,26,52,101,202,404,1313,2626,5252

Greatest Common Factor

We found the factors 42,5252 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5252 is 2.


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 872/42, 583/5252

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 872/42, 583/5252?

Answer: LCM of Numerators as per given numbers 872/42, 583/5252 is

LCM of Numerators i.e. for 872,583 is 508376

GCF of denominators i.e. for 42,5252 is 2.

Thus, LCM of Fractions is 254188.Finally, LCM of Fractions for 872/42, 583/5252 is 254188.