Least Common Multiple of 218/42, 271/61, 233/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/42, 271/61, 233/500 quickly i.e. 13765174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/42, 271/61, 233/500 is 13765174.

LCM(218/42, 271/61, 233/500) = 13765174

LCM of 218/42, 271/61, 233/500

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 218/42,271/61,233/500

Given numbers are 218/42,271/61,233/500

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 218,271,233

Least Common Multiple of Numerators i.e. LCM of 218,271,233 is 13765174.

GCF of Denominators means GCF of 42,61,500 as per the given fractions.

GCF of 42,61,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,271,233

LCM of Fractions 218/42,271/61,233/500 is 13765174

Given numbers has no common factors except 1. So, there LCM is their product i.e 13765174

Least Common Multiple of 218,271,233 with GCF Formula

Least Common Multiple of 218,271,233 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 218,271,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,271,233) = 1

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

GCF(218,271,233) x common factors =1 x 1 = 1

LCM(218,271,233) = ( 218 × 271 × 233 ) / 1

LCM(218,271,233) = 13765174 / 1

LCM(218,271,233) = 13765174


Lets's calculate GCF of 42,61,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13765174/1

Therefore the LCM of Fractions 218/42,271/61,233/500 is 13765174

Greatest Common Factor of 42,61,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,61,500 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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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

Greatest Common Factor

We found the factors 42,61,500 . The biggest common factor number is the GCF number.
So the greatest common factor 42,61,500 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 218/42, 271/61, 233/500

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 218/42, 271/61, 233/500?

Answer: LCM of Numerators as per given numbers 218/42, 271/61, 233/500 is

LCM of Numerators i.e. for 218,271,233 is 13765174

GCF of denominators i.e. for 42,61,500 is 1.

Thus, LCM of Fractions is 13765174.Finally, LCM of Fractions for 218/42, 271/61, 233/500 is 13765174.