Least Common Multiple of 4372/20, 9997/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4372/20, 9997/138 quickly i.e. 21853442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4372/20, 9997/138 is 21853442.

LCM(4372/20, 9997/138) = 21853442

LCM of 4372/20, 9997/138

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 4372/20,9997/138

Given numbers are 4372/20,9997/138

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 4372,9997

Least Common Multiple of Numerators i.e. LCM of 4372,9997 is 43706884.

GCF of Denominators means GCF of 20,138 as per the given fractions.

GCF of 20,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4372,9997

LCM of Fractions 4372/20,9997/138 is 21853442

Given numbers has no common factors except 1. So, there LCM is their product i.e 43706884

Least Common Multiple of 4372,9997 with GCF Formula

Least Common Multiple of 4372,9997 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 4372,9997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4372,9997) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4372,9997) x common factors =1 x 1 = 1

LCM(4372,9997) = ( 4372 × 9997 ) / 1

LCM(4372,9997) = 43706884 / 1

LCM(4372,9997) = 43706884


Lets's calculate GCF of 20,138

2 20, 138
10, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43706884/2

Therefore the LCM of Fractions 4372/20,9997/138 is 21853442

Greatest Common Factor of 20,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,138 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 20,138 . The biggest common factor number is the GCF number.
So the greatest common factor 20,138 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 4372/20, 9997/138

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 4372/20, 9997/138?

Answer: LCM of Numerators as per given numbers 4372/20, 9997/138 is

LCM of Numerators i.e. for 4372,9997 is 43706884

GCF of denominators i.e. for 20,138 is 2.

Thus, LCM of Fractions is 21853442.Finally, LCM of Fractions for 4372/20, 9997/138 is 21853442.