Least Common Multiple of 767/868, 422/317, 314/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/868, 422/317, 314/304 quickly i.e. 50816818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/868, 422/317, 314/304 is 50816818.

LCM(767/868, 422/317, 314/304) = 50816818

LCM of 767/868, 422/317, 314/304

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 767/868,422/317,314/304

Given numbers are 767/868,422/317,314/304

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 767,422,314

Least Common Multiple of Numerators i.e. LCM of 767,422,314 is 50816818.

GCF of Denominators means GCF of 868,317,304 as per the given fractions.

GCF of 868,317,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,422,314

LCM of Fractions 767/868,422/317,314/304 is 50816818

2 767, 422, 314
767, 211, 157

∴ So the LCM of the given numbers is 2 x 767 x 211 x 157 = 50816818

Least Common Multiple of 767,422,314 with GCF Formula

Least Common Multiple of 767,422,314 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 767,422,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,422,314) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(767,422,314) x common factors =1 x 2 = 2

LCM(767,422,314) = ( 767 × 422 × 314 ) / 2

LCM(767,422,314) = 101633636 / 2

LCM(767,422,314) = 50816818


Lets's calculate GCF of 868,317,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50816818/1

Therefore the LCM of Fractions 767/868,422/317,314/304 is 50816818

Greatest Common Factor of 868,317,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,317,304 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 868,317,304 . The biggest common factor number is the GCF number.
So the greatest common factor 868,317,304 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 767/868, 422/317, 314/304

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 767/868, 422/317, 314/304?

Answer: LCM of Numerators as per given numbers 767/868, 422/317, 314/304 is

LCM of Numerators i.e. for 767,422,314 is 50816818

GCF of denominators i.e. for 868,317,304 is 1.

Thus, LCM of Fractions is 50816818.Finally, LCM of Fractions for 767/868, 422/317, 314/304 is 50816818.