Least Common Multiple of 398/816, 748/195, 636/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/816, 748/195, 636/393 quickly i.e. 7889156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/816, 748/195, 636/393 is 7889156.

LCM(398/816, 748/195, 636/393) = 7889156

LCM of 398/816, 748/195, 636/393

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 398/816,748/195,636/393

Given numbers are 398/816,748/195,636/393

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 398,748,636

Least Common Multiple of Numerators i.e. LCM of 398,748,636 is 23667468.

GCF of Denominators means GCF of 816,195,393 as per the given fractions.

GCF of 816,195,393 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,748,636

LCM of Fractions 398/816,748/195,636/393 is 7889156

2 398, 748, 636
2 199, 374, 318
199, 187, 159

∴ So the LCM of the given numbers is 2 x 2 x 199 x 187 x 159 = 23667468

Least Common Multiple of 398,748,636 with GCF Formula

Least Common Multiple of 398,748,636 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 398,748,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,748,636) = 2

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

GCF(398,748,636) x common factors =2 x 4 = 8

LCM(398,748,636) = ( 398 × 748 × 636 ) / 8

LCM(398,748,636) = 189339744 / 8

LCM(398,748,636) = 23667468


Lets's calculate GCF of 816,195,393

3 816, 195, 393
272, 65, 131

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23667468/3

Therefore the LCM of Fractions 398/816,748/195,636/393 is 7889156

Greatest Common Factor of 816,195,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,195,393 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 816,195,393 . The biggest common factor number is the GCF number.
So the greatest common factor 816,195,393 is 3.


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 398/816, 748/195, 636/393

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 398/816, 748/195, 636/393?

Answer: LCM of Numerators as per given numbers 398/816, 748/195, 636/393 is

LCM of Numerators i.e. for 398,748,636 is 23667468

GCF of denominators i.e. for 816,195,393 is 3.

Thus, LCM of Fractions is 7889156.Finally, LCM of Fractions for 398/816, 748/195, 636/393 is 7889156.