Least Common Multiple of 272/260, 425/468, 529/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/260, 425/468, 529/208 quickly i.e. 3597200/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/260, 425/468, 529/208 is 3597200/52.

LCM(272/260, 425/468, 529/208) = 3597200/52

LCM of 272/260, 425/468, 529/208

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 272/260,425/468,529/208

Given numbers are 272/260,425/468,529/208

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 272,425,529

Least Common Multiple of Numerators i.e. LCM of 272,425,529 is 3597200.

GCF of Denominators means GCF of 260,468,208 as per the given fractions.

GCF of 260,468,208 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,425,529

LCM of Fractions 272/260,425/468,529/208 is 3597200/52

17 272, 425, 529
16, 25, 529

∴ So the LCM of the given numbers is 17 x 16 x 25 x 529 = 3597200

Least Common Multiple of 272,425,529 with GCF Formula

Least Common Multiple of 272,425,529 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 272,425,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,425,529) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(272,425,529) x common factors =1 x 17 = 17

LCM(272,425,529) = ( 272 × 425 × 529 ) / 17

LCM(272,425,529) = 61152400 / 17

LCM(272,425,529) = 3597200


Lets's calculate GCF of 260,468,208

2 260, 468, 208
2 130, 234, 104
13 65, 117, 52
5, 9, 4

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3597200/52

Therefore the LCM of Fractions 272/260,425/468,529/208 is 3597200/52

Greatest Common Factor of 260,468,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,468,208 By Matching Biggest Common Factor Method

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

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 260,468,208 . The biggest common factor number is the GCF number.
So the greatest common factor 260,468,208 is 52.


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 272/260, 425/468, 529/208

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 272/260, 425/468, 529/208?

Answer: LCM of Numerators as per given numbers 272/260, 425/468, 529/208 is

LCM of Numerators i.e. for 272,425,529 is 3597200

GCF of denominators i.e. for 260,468,208 is 52.

Thus, LCM of Fractions is 3597200/52.Finally, LCM of Fractions for 272/260, 425/468, 529/208 is 3597200/52.