Least Common Multiple of 43/18, 98/13, 31/38, 36/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/18, 98/13, 31/38, 36/204 quickly i.e. 2351412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/18, 98/13, 31/38, 36/204 is 2351412.

LCM(43/18, 98/13, 31/38, 36/204) = 2351412

LCM of 43/18, 98/13, 31/38, 36/204

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 43/18,98/13,31/38,36/204

Given numbers are 43/18,98/13,31/38,36/204

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 43,98,31,36

Least Common Multiple of Numerators i.e. LCM of 43,98,31,36 is 2351412.

GCF of Denominators means GCF of 18,13,38,204 as per the given fractions.

GCF of 18,13,38,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,98,31,36

LCM of Fractions 43/18,98/13,31/38,36/204 is 2351412

2 43, 98, 31, 36
43, 49, 31, 18

∴ So the LCM of the given numbers is 2 x 43 x 49 x 31 x 18 = 2351412

Least Common Multiple of 43,98,31,36 with GCF Formula

Least Common Multiple of 43,98,31,36 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 43,98,31,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,98,31,36) = 1

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

GCF(43,98,31,36) x common factors =1 x 2 = 2

LCM(43,98,31,36) = ( 43 × 98 × 31 × 36 ) / 2

LCM(43,98,31,36) = 4702824 / 2

LCM(43,98,31,36) = 2351412


Lets's calculate GCF of 18,13,38,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2351412/1

Therefore the LCM of Fractions 43/18,98/13,31/38,36/204 is 2351412

Greatest Common Factor of 18,13,38,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,13,38,204 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 18,13,38,204 . The biggest common factor number is the GCF number.
So the greatest common factor 18,13,38,204 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 43/18, 98/13, 31/38, 36/204

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 43/18, 98/13, 31/38, 36/204?

Answer: LCM of Numerators as per given numbers 43/18, 98/13, 31/38, 36/204 is

LCM of Numerators i.e. for 43,98,31,36 is 2351412

GCF of denominators i.e. for 18,13,38,204 is 1.

Thus, LCM of Fractions is 2351412.Finally, LCM of Fractions for 43/18, 98/13, 31/38, 36/204 is 2351412.