Least Common Multiple of 302/87, 727/1308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 302/87, 727/1308 quickly i.e. 219554/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/87, 727/1308 is 219554/3.

LCM(302/87, 727/1308) = 219554/3

LCM of 302/87, 727/1308

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 302/87,727/1308

Given numbers are 302/87,727/1308

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 302,727

Least Common Multiple of Numerators i.e. LCM of 302,727 is 219554.

GCF of Denominators means GCF of 87,1308 as per the given fractions.

GCF of 87,1308 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,727

LCM of Fractions 302/87,727/1308 is 219554/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 219554

Least Common Multiple of 302,727 with GCF Formula

Least Common Multiple of 302,727 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 302,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,727) = 1

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

GCF(302,727) x common factors =1 x 1 = 1

LCM(302,727) = ( 302 × 727 ) / 1

LCM(302,727) = 219554 / 1

LCM(302,727) = 219554


Lets's calculate GCF of 87,1308

3 87, 1308
29, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219554/3

Therefore the LCM of Fractions 302/87,727/1308 is 219554/3

Greatest Common Factor of 87,1308 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,1308 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors 87,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 87,1308 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 302/87, 727/1308

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 302/87, 727/1308?

Answer: LCM of Numerators as per given numbers 302/87, 727/1308 is

LCM of Numerators i.e. for 302,727 is 219554

GCF of denominators i.e. for 87,1308 is 3.

Thus, LCM of Fractions is 219554/3.Finally, LCM of Fractions for 302/87, 727/1308 is 219554/3.