Least Common Multiple of 767/342, 637/309, 677/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/342, 637/309, 677/344 quickly i.e. 25443691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/342, 637/309, 677/344 is 25443691.

LCM(767/342, 637/309, 677/344) = 25443691

LCM of 767/342, 637/309, 677/344

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 767/342,637/309,677/344

Given numbers are 767/342,637/309,677/344

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 767,637,677

Least Common Multiple of Numerators i.e. LCM of 767,637,677 is 25443691.

GCF of Denominators means GCF of 342,309,344 as per the given fractions.

GCF of 342,309,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,637,677

LCM of Fractions 767/342,637/309,677/344 is 25443691

13 767, 637, 677
59, 49, 677

∴ So the LCM of the given numbers is 13 x 59 x 49 x 677 = 25443691

Least Common Multiple of 767,637,677 with GCF Formula

Least Common Multiple of 767,637,677 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 767,637,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,637,677) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(767,637,677) x common factors =1 x 13 = 13

LCM(767,637,677) = ( 767 × 637 × 677 ) / 13

LCM(767,637,677) = 330767983 / 13

LCM(767,637,677) = 25443691


Lets's calculate GCF of 342,309,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25443691/1

Therefore the LCM of Fractions 767/342,637/309,677/344 is 25443691

Greatest Common Factor of 342,309,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,309,344 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 342,309,344 . The biggest common factor number is the GCF number.
So the greatest common factor 342,309,344 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 767/342, 637/309, 677/344

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 767/342, 637/309, 677/344?

Answer: LCM of Numerators as per given numbers 767/342, 637/309, 677/344 is

LCM of Numerators i.e. for 767,637,677 is 25443691

GCF of denominators i.e. for 342,309,344 is 1.

Thus, LCM of Fractions is 25443691.Finally, LCM of Fractions for 767/342, 637/309, 677/344 is 25443691.