Least Common Multiple of 312/89, 304/87, 317/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/89, 304/87, 317/779 quickly i.e. 3758352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/89, 304/87, 317/779 is 3758352.

LCM(312/89, 304/87, 317/779) = 3758352

LCM of 312/89, 304/87, 317/779

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 312/89,304/87,317/779

Given numbers are 312/89,304/87,317/779

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 312,304,317

Least Common Multiple of Numerators i.e. LCM of 312,304,317 is 3758352.

GCF of Denominators means GCF of 89,87,779 as per the given fractions.

GCF of 89,87,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,304,317

LCM of Fractions 312/89,304/87,317/779 is 3758352

2 312, 304, 317
2 156, 152, 317
2 78, 76, 317
39, 38, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 38 x 317 = 3758352

Least Common Multiple of 312,304,317 with GCF Formula

Least Common Multiple of 312,304,317 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 312,304,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,304,317) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(312,304,317) x common factors =1 x 8 = 8

LCM(312,304,317) = ( 312 × 304 × 317 ) / 8

LCM(312,304,317) = 30066816 / 8

LCM(312,304,317) = 3758352


Lets's calculate GCF of 89,87,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3758352/1

Therefore the LCM of Fractions 312/89,304/87,317/779 is 3758352

Greatest Common Factor of 89,87,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,87,779 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 87

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

1,3,29,87

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 89,87,779 . The biggest common factor number is the GCF number.
So the greatest common factor 89,87,779 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 312/89, 304/87, 317/779

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 312/89, 304/87, 317/779?

Answer: LCM of Numerators as per given numbers 312/89, 304/87, 317/779 is

LCM of Numerators i.e. for 312,304,317 is 3758352

GCF of denominators i.e. for 89,87,779 is 1.

Thus, LCM of Fractions is 3758352.Finally, LCM of Fractions for 312/89, 304/87, 317/779 is 3758352.