Least Common Multiple of 53/218, 45/330, 272/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/218, 45/330, 272/260 quickly i.e. 324360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/218, 45/330, 272/260 is 324360.

LCM(53/218, 45/330, 272/260) = 324360

LCM of 53/218, 45/330, 272/260

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 53/218,45/330,272/260

Given numbers are 53/218,45/330,272/260

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 53,45,272

Least Common Multiple of Numerators i.e. LCM of 53,45,272 is 648720.

GCF of Denominators means GCF of 218,330,260 as per the given fractions.

GCF of 218,330,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,45,272

LCM of Fractions 53/218,45/330,272/260 is 324360

Given numbers has no common factors except 1. So, there LCM is their product i.e 648720

Least Common Multiple of 53,45,272 with GCF Formula

Least Common Multiple of 53,45,272 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 53,45,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,45,272) = 1

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

GCF(53,45,272) x common factors =1 x 1 = 1

LCM(53,45,272) = ( 53 × 45 × 272 ) / 1

LCM(53,45,272) = 648720 / 1

LCM(53,45,272) = 648720


Lets's calculate GCF of 218,330,260

2 218, 330, 260
109, 165, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648720/2

Therefore the LCM of Fractions 53/218,45/330,272/260 is 324360

Greatest Common Factor of 218,330,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,330,260 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 218,330,260 . The biggest common factor number is the GCF number.
So the greatest common factor 218,330,260 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 53/218, 45/330, 272/260

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 53/218, 45/330, 272/260?

Answer: LCM of Numerators as per given numbers 53/218, 45/330, 272/260 is

LCM of Numerators i.e. for 53,45,272 is 648720

GCF of denominators i.e. for 218,330,260 is 2.

Thus, LCM of Fractions is 324360.Finally, LCM of Fractions for 53/218, 45/330, 272/260 is 324360.