Least Common Multiple of 240/180, 7332/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/180, 7332/213 quickly i.e. 48880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/180, 7332/213 is 48880.

LCM(240/180, 7332/213) = 48880

LCM of 240/180, 7332/213

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 240/180,7332/213

Given numbers are 240/180,7332/213

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 240,7332

Least Common Multiple of Numerators i.e. LCM of 240,7332 is 146640.

GCF of Denominators means GCF of 180,213 as per the given fractions.

GCF of 180,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,7332

LCM of Fractions 240/180,7332/213 is 48880

2 240, 7332
2 120, 3666
3 60, 1833
20, 611

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 611 = 146640

Least Common Multiple of 240,7332 with GCF Formula

Least Common Multiple of 240,7332 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 240,7332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,7332) = 12

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

GCF(240,7332) x common factors =12 x 1 = 12

LCM(240,7332) = ( 240 × 7332 ) / 12

LCM(240,7332) = 1759680 / 12

LCM(240,7332) = 146640


Lets's calculate GCF of 180,213

3 180, 213
60, 71

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146640/3

Therefore the LCM of Fractions 240/180,7332/213 is 48880

Greatest Common Factor of 180,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,213 By Matching Biggest Common Factor Method

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

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 180,213 . The biggest common factor number is the GCF number.
So the greatest common factor 180,213 is 3.


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 240/180, 7332/213

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 240/180, 7332/213?

Answer: LCM of Numerators as per given numbers 240/180, 7332/213 is

LCM of Numerators i.e. for 240,7332 is 146640

GCF of denominators i.e. for 180,213 is 3.

Thus, LCM of Fractions is 48880.Finally, LCM of Fractions for 240/180, 7332/213 is 48880.