Least Common Multiple of 218/124, 531/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 218/124, 531/133 quickly i.e. 115758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/124, 531/133 is 115758.

LCM(218/124, 531/133) = 115758

LCM of 218/124, 531/133

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 218/124,531/133

Given numbers are 218/124,531/133

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 218,531

Least Common Multiple of Numerators i.e. LCM of 218,531 is 115758.

GCF of Denominators means GCF of 124,133 as per the given fractions.

GCF of 124,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,531

LCM of Fractions 218/124,531/133 is 115758

Given numbers has no common factors except 1. So, there LCM is their product i.e 115758

Least Common Multiple of 218,531 with GCF Formula

Least Common Multiple of 218,531 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 218,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,531) = 1

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

GCF(218,531) x common factors =1 x 1 = 1

LCM(218,531) = ( 218 × 531 ) / 1

LCM(218,531) = 115758 / 1

LCM(218,531) = 115758


Lets's calculate GCF of 124,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115758/1

Therefore the LCM of Fractions 218/124,531/133 is 115758

Greatest Common Factor of 124,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,133 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 124,133 . The biggest common factor number is the GCF number.
So the greatest common factor 124,133 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 218/124, 531/133

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 218/124, 531/133?

Answer: LCM of Numerators as per given numbers 218/124, 531/133 is

LCM of Numerators i.e. for 218,531 is 115758

GCF of denominators i.e. for 124,133 is 1.

Thus, LCM of Fractions is 115758.Finally, LCM of Fractions for 218/124, 531/133 is 115758.