Least Common Multiple of 398/113, 348/721, 299/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/113, 348/721, 299/638 quickly i.e. 20706348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/113, 348/721, 299/638 is 20706348.

LCM(398/113, 348/721, 299/638) = 20706348

LCM of 398/113, 348/721, 299/638

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 398/113,348/721,299/638

Given numbers are 398/113,348/721,299/638

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 398,348,299

Least Common Multiple of Numerators i.e. LCM of 398,348,299 is 20706348.

GCF of Denominators means GCF of 113,721,638 as per the given fractions.

GCF of 113,721,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,348,299

LCM of Fractions 398/113,348/721,299/638 is 20706348

2 398, 348, 299
199, 174, 299

∴ So the LCM of the given numbers is 2 x 199 x 174 x 299 = 20706348

Least Common Multiple of 398,348,299 with GCF Formula

Least Common Multiple of 398,348,299 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 398,348,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,348,299) = 1

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

GCF(398,348,299) x common factors =1 x 2 = 2

LCM(398,348,299) = ( 398 × 348 × 299 ) / 2

LCM(398,348,299) = 41412696 / 2

LCM(398,348,299) = 20706348


Lets's calculate GCF of 113,721,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20706348/1

Therefore the LCM of Fractions 398/113,348/721,299/638 is 20706348

Greatest Common Factor of 113,721,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,721,638 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 113,721,638 . The biggest common factor number is the GCF number.
So the greatest common factor 113,721,638 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 398/113, 348/721, 299/638

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 398/113, 348/721, 299/638?

Answer: LCM of Numerators as per given numbers 398/113, 348/721, 299/638 is

LCM of Numerators i.e. for 398,348,299 is 20706348

GCF of denominators i.e. for 113,721,638 is 1.

Thus, LCM of Fractions is 20706348.Finally, LCM of Fractions for 398/113, 348/721, 299/638 is 20706348.