Least Common Multiple of 317/769, 644/741, 716/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/769, 644/741, 716/344 quickly i.e. 36542492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/769, 644/741, 716/344 is 36542492.

LCM(317/769, 644/741, 716/344) = 36542492

LCM of 317/769, 644/741, 716/344

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 317/769,644/741,716/344

Given numbers are 317/769,644/741,716/344

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 317,644,716

Least Common Multiple of Numerators i.e. LCM of 317,644,716 is 36542492.

GCF of Denominators means GCF of 769,741,344 as per the given fractions.

GCF of 769,741,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,644,716

LCM of Fractions 317/769,644/741,716/344 is 36542492

2 317, 644, 716
2 317, 322, 358
317, 161, 179

∴ So the LCM of the given numbers is 2 x 2 x 317 x 161 x 179 = 36542492

Least Common Multiple of 317,644,716 with GCF Formula

Least Common Multiple of 317,644,716 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 317,644,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,644,716) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(317,644,716) x common factors =1 x 4 = 4

LCM(317,644,716) = ( 317 × 644 × 716 ) / 4

LCM(317,644,716) = 146169968 / 4

LCM(317,644,716) = 36542492


Lets's calculate GCF of 769,741,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36542492/1

Therefore the LCM of Fractions 317/769,644/741,716/344 is 36542492

Greatest Common Factor of 769,741,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,741,344 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

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 769,741,344 . The biggest common factor number is the GCF number.
So the greatest common factor 769,741,344 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 317/769, 644/741, 716/344

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 317/769, 644/741, 716/344?

Answer: LCM of Numerators as per given numbers 317/769, 644/741, 716/344 is

LCM of Numerators i.e. for 317,644,716 is 36542492

GCF of denominators i.e. for 769,741,344 is 1.

Thus, LCM of Fractions is 36542492.Finally, LCM of Fractions for 317/769, 644/741, 716/344 is 36542492.