Least Common Multiple of 76/385, 34/547, 717/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/385, 34/547, 717/720 quickly i.e. 926364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/385, 34/547, 717/720 is 926364.

LCM(76/385, 34/547, 717/720) = 926364

LCM of 76/385, 34/547, 717/720

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 76/385,34/547,717/720

Given numbers are 76/385,34/547,717/720

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 76,34,717

Least Common Multiple of Numerators i.e. LCM of 76,34,717 is 926364.

GCF of Denominators means GCF of 385,547,720 as per the given fractions.

GCF of 385,547,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,34,717

LCM of Fractions 76/385,34/547,717/720 is 926364

2 76, 34, 717
38, 17, 717

∴ So the LCM of the given numbers is 2 x 38 x 17 x 717 = 926364

Least Common Multiple of 76,34,717 with GCF Formula

Least Common Multiple of 76,34,717 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 76,34,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,34,717) = 1

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

GCF(76,34,717) x common factors =1 x 2 = 2

LCM(76,34,717) = ( 76 × 34 × 717 ) / 2

LCM(76,34,717) = 1852728 / 2

LCM(76,34,717) = 926364


Lets's calculate GCF of 385,547,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 926364/1

Therefore the LCM of Fractions 76/385,34/547,717/720 is 926364

Greatest Common Factor of 385,547,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,547,720 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 385,547,720 . The biggest common factor number is the GCF number.
So the greatest common factor 385,547,720 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 76/385, 34/547, 717/720

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 76/385, 34/547, 717/720?

Answer: LCM of Numerators as per given numbers 76/385, 34/547, 717/720 is

LCM of Numerators i.e. for 76,34,717 is 926364

GCF of denominators i.e. for 385,547,720 is 1.

Thus, LCM of Fractions is 926364.Finally, LCM of Fractions for 76/385, 34/547, 717/720 is 926364.