Least Common Multiple of 68/29, 11/31, 25/73, 57/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/29, 11/31, 25/73, 57/264 quickly i.e. 1065900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/29, 11/31, 25/73, 57/264 is 1065900.

LCM(68/29, 11/31, 25/73, 57/264) = 1065900

LCM of 68/29, 11/31, 25/73, 57/264

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 68/29,11/31,25/73,57/264

Given numbers are 68/29,11/31,25/73,57/264

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 68,11,25,57

Least Common Multiple of Numerators i.e. LCM of 68,11,25,57 is 1065900.

GCF of Denominators means GCF of 29,31,73,264 as per the given fractions.

GCF of 29,31,73,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,11,25,57

LCM of Fractions 68/29,11/31,25/73,57/264 is 1065900

Given numbers has no common factors except 1. So, there LCM is their product i.e 1065900

Least Common Multiple of 68,11,25,57 with GCF Formula

Least Common Multiple of 68,11,25,57 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 68,11,25,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,11,25,57) = 1

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

GCF(68,11,25,57) x common factors =1 x 1 = 1

LCM(68,11,25,57) = ( 68 × 11 × 25 × 57 ) / 1

LCM(68,11,25,57) = 1065900 / 1

LCM(68,11,25,57) = 1065900


Lets's calculate GCF of 29,31,73,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065900/1

Therefore the LCM of Fractions 68/29,11/31,25/73,57/264 is 1065900

Greatest Common Factor of 29,31,73,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,31,73,264 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 29,31,73,264 . The biggest common factor number is the GCF number.
So the greatest common factor 29,31,73,264 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 68/29, 11/31, 25/73, 57/264

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 68/29, 11/31, 25/73, 57/264?

Answer: LCM of Numerators as per given numbers 68/29, 11/31, 25/73, 57/264 is

LCM of Numerators i.e. for 68,11,25,57 is 1065900

GCF of denominators i.e. for 29,31,73,264 is 1.

Thus, LCM of Fractions is 1065900.Finally, LCM of Fractions for 68/29, 11/31, 25/73, 57/264 is 1065900.