Least Common Multiple of 318/80, 768/96, 217/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/80, 768/96, 217/271 quickly i.e. 8832768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/80, 768/96, 217/271 is 8832768.

LCM(318/80, 768/96, 217/271) = 8832768

LCM of 318/80, 768/96, 217/271

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 318/80,768/96,217/271

Given numbers are 318/80,768/96,217/271

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 318,768,217

Least Common Multiple of Numerators i.e. LCM of 318,768,217 is 8832768.

GCF of Denominators means GCF of 80,96,271 as per the given fractions.

GCF of 80,96,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,768,217

LCM of Fractions 318/80,768/96,217/271 is 8832768

2 318, 768, 217
3 159, 384, 217
53, 128, 217

∴ So the LCM of the given numbers is 2 x 3 x 53 x 128 x 217 = 8832768

Least Common Multiple of 318,768,217 with GCF Formula

Least Common Multiple of 318,768,217 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 318,768,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,768,217) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(318,768,217) x common factors =1 x 6 = 6

LCM(318,768,217) = ( 318 × 768 × 217 ) / 6

LCM(318,768,217) = 52996608 / 6

LCM(318,768,217) = 8832768


Lets's calculate GCF of 80,96,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8832768/1

Therefore the LCM of Fractions 318/80,768/96,217/271 is 8832768

Greatest Common Factor of 80,96,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,96,271 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 80,96,271 . The biggest common factor number is the GCF number.
So the greatest common factor 80,96,271 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 318/80, 768/96, 217/271

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 318/80, 768/96, 217/271?

Answer: LCM of Numerators as per given numbers 318/80, 768/96, 217/271 is

LCM of Numerators i.e. for 318,768,217 is 8832768

GCF of denominators i.e. for 80,96,271 is 1.

Thus, LCM of Fractions is 8832768.Finally, LCM of Fractions for 318/80, 768/96, 217/271 is 8832768.