Least Common Multiple of 11/235, 72/547, 307/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/235, 72/547, 307/688 quickly i.e. 243144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/235, 72/547, 307/688 is 243144.

LCM(11/235, 72/547, 307/688) = 243144

LCM of 11/235, 72/547, 307/688

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 11/235,72/547,307/688

Given numbers are 11/235,72/547,307/688

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 11,72,307

Least Common Multiple of Numerators i.e. LCM of 11,72,307 is 243144.

GCF of Denominators means GCF of 235,547,688 as per the given fractions.

GCF of 235,547,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,72,307

LCM of Fractions 11/235,72/547,307/688 is 243144

Given numbers has no common factors except 1. So, there LCM is their product i.e 243144

Least Common Multiple of 11,72,307 with GCF Formula

Least Common Multiple of 11,72,307 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 11,72,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,72,307) = 1

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

GCF(11,72,307) x common factors =1 x 1 = 1

LCM(11,72,307) = ( 11 × 72 × 307 ) / 1

LCM(11,72,307) = 243144 / 1

LCM(11,72,307) = 243144


Lets's calculate GCF of 235,547,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243144/1

Therefore the LCM of Fractions 11/235,72/547,307/688 is 243144

Greatest Common Factor of 235,547,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,547,688 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 235,547,688 . The biggest common factor number is the GCF number.
So the greatest common factor 235,547,688 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 11/235, 72/547, 307/688

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 11/235, 72/547, 307/688?

Answer: LCM of Numerators as per given numbers 11/235, 72/547, 307/688 is

LCM of Numerators i.e. for 11,72,307 is 243144

GCF of denominators i.e. for 235,547,688 is 1.

Thus, LCM of Fractions is 243144.Finally, LCM of Fractions for 11/235, 72/547, 307/688 is 243144.