Least Common Multiple of 747/481, 796/320, 374/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/481, 796/320, 374/683 quickly i.e. 111192444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/481, 796/320, 374/683 is 111192444.

LCM(747/481, 796/320, 374/683) = 111192444

LCM of 747/481, 796/320, 374/683

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 747/481,796/320,374/683

Given numbers are 747/481,796/320,374/683

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 747,796,374

Least Common Multiple of Numerators i.e. LCM of 747,796,374 is 111192444.

GCF of Denominators means GCF of 481,320,683 as per the given fractions.

GCF of 481,320,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,796,374

LCM of Fractions 747/481,796/320,374/683 is 111192444

2 747, 796, 374
747, 398, 187

∴ So the LCM of the given numbers is 2 x 747 x 398 x 187 = 111192444

Least Common Multiple of 747,796,374 with GCF Formula

Least Common Multiple of 747,796,374 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 747,796,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,796,374) = 1

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

GCF(747,796,374) x common factors =1 x 2 = 2

LCM(747,796,374) = ( 747 × 796 × 374 ) / 2

LCM(747,796,374) = 222384888 / 2

LCM(747,796,374) = 111192444


Lets's calculate GCF of 481,320,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111192444/1

Therefore the LCM of Fractions 747/481,796/320,374/683 is 111192444

Greatest Common Factor of 481,320,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,320,683 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 481,320,683 . The biggest common factor number is the GCF number.
So the greatest common factor 481,320,683 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 747/481, 796/320, 374/683

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 747/481, 796/320, 374/683?

Answer: LCM of Numerators as per given numbers 747/481, 796/320, 374/683 is

LCM of Numerators i.e. for 747,796,374 is 111192444

GCF of denominators i.e. for 481,320,683 is 1.

Thus, LCM of Fractions is 111192444.Finally, LCM of Fractions for 747/481, 796/320, 374/683 is 111192444.