Least Common Multiple of 79/767, 12/868, 343/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/767, 12/868, 343/277 quickly i.e. 325164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/767, 12/868, 343/277 is 325164.

LCM(79/767, 12/868, 343/277) = 325164

LCM of 79/767, 12/868, 343/277

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 79/767,12/868,343/277

Given numbers are 79/767,12/868,343/277

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 79,12,343

Least Common Multiple of Numerators i.e. LCM of 79,12,343 is 325164.

GCF of Denominators means GCF of 767,868,277 as per the given fractions.

GCF of 767,868,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,12,343

LCM of Fractions 79/767,12/868,343/277 is 325164

Given numbers has no common factors except 1. So, there LCM is their product i.e 325164

Least Common Multiple of 79,12,343 with GCF Formula

Least Common Multiple of 79,12,343 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 79,12,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,12,343) = 1

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

GCF(79,12,343) x common factors =1 x 1 = 1

LCM(79,12,343) = ( 79 × 12 × 343 ) / 1

LCM(79,12,343) = 325164 / 1

LCM(79,12,343) = 325164


Lets's calculate GCF of 767,868,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325164/1

Therefore the LCM of Fractions 79/767,12/868,343/277 is 325164

Greatest Common Factor of 767,868,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,868,277 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

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 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 767,868,277 . The biggest common factor number is the GCF number.
So the greatest common factor 767,868,277 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 79/767, 12/868, 343/277

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 79/767, 12/868, 343/277?

Answer: LCM of Numerators as per given numbers 79/767, 12/868, 343/277 is

LCM of Numerators i.e. for 79,12,343 is 325164

GCF of denominators i.e. for 767,868,277 is 1.

Thus, LCM of Fractions is 325164.Finally, LCM of Fractions for 79/767, 12/868, 343/277 is 325164.