Least Common Multiple of 398/18, 371/34, 418/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/18, 371/34, 418/20 quickly i.e. 15430261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/18, 371/34, 418/20 is 15430261.

LCM(398/18, 371/34, 418/20) = 15430261

LCM of 398/18, 371/34, 418/20

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 398/18,371/34,418/20

Given numbers are 398/18,371/34,418/20

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 398,371,418

Least Common Multiple of Numerators i.e. LCM of 398,371,418 is 30860522.

GCF of Denominators means GCF of 18,34,20 as per the given fractions.

GCF of 18,34,20 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,371,418

LCM of Fractions 398/18,371/34,418/20 is 15430261

2 398, 371, 418
199, 371, 209

∴ So the LCM of the given numbers is 2 x 199 x 371 x 209 = 30860522

Least Common Multiple of 398,371,418 with GCF Formula

Least Common Multiple of 398,371,418 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 398,371,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,371,418) = 1

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

GCF(398,371,418) x common factors =1 x 2 = 2

LCM(398,371,418) = ( 398 × 371 × 418 ) / 2

LCM(398,371,418) = 61721044 / 2

LCM(398,371,418) = 30860522


Lets's calculate GCF of 18,34,20

2 18, 34, 20
9, 17, 10

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30860522/2

Therefore the LCM of Fractions 398/18,371/34,418/20 is 15430261

Greatest Common Factor of 18,34,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,34,20 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 18,34,20 . The biggest common factor number is the GCF number.
So the greatest common factor 18,34,20 is 2.


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 398/18, 371/34, 418/20

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 398/18, 371/34, 418/20?

Answer: LCM of Numerators as per given numbers 398/18, 371/34, 418/20 is

LCM of Numerators i.e. for 398,371,418 is 30860522

GCF of denominators i.e. for 18,34,20 is 2.

Thus, LCM of Fractions is 15430261.Finally, LCM of Fractions for 398/18, 371/34, 418/20 is 15430261.