Least Common Multiple of 252/500, 4385/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/500, 4385/180 quickly i.e. 55251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/500, 4385/180 is 55251.

LCM(252/500, 4385/180) = 55251

LCM of 252/500, 4385/180

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 252/500,4385/180

Given numbers are 252/500,4385/180

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 252,4385

Least Common Multiple of Numerators i.e. LCM of 252,4385 is 1105020.

GCF of Denominators means GCF of 500,180 as per the given fractions.

GCF of 500,180 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,4385

LCM of Fractions 252/500,4385/180 is 55251

Given numbers has no common factors except 1. So, there LCM is their product i.e 1105020

Least Common Multiple of 252,4385 with GCF Formula

Least Common Multiple of 252,4385 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 252,4385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,4385) = 1

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

GCF(252,4385) x common factors =1 x 1 = 1

LCM(252,4385) = ( 252 × 4385 ) / 1

LCM(252,4385) = 1105020 / 1

LCM(252,4385) = 1105020


Lets's calculate GCF of 500,180

2 500, 180
2 250, 90
5 125, 45
25, 9

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105020/20

Therefore the LCM of Fractions 252/500,4385/180 is 55251

Greatest Common Factor of 500,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,180 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 500,180 . The biggest common factor number is the GCF number.
So the greatest common factor 500,180 is 20.


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 252/500, 4385/180

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 252/500, 4385/180?

Answer: LCM of Numerators as per given numbers 252/500, 4385/180 is

LCM of Numerators i.e. for 252,4385 is 1105020

GCF of denominators i.e. for 500,180 is 20.

Thus, LCM of Fractions is 55251.Finally, LCM of Fractions for 252/500, 4385/180 is 55251.