Least Common Multiple of 219/20, 114/9299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/20, 114/9299 quickly i.e. 8322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/20, 114/9299 is 8322.

LCM(219/20, 114/9299) = 8322

LCM of 219/20, 114/9299

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 219/20,114/9299

Given numbers are 219/20,114/9299

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 219,114

Least Common Multiple of Numerators i.e. LCM of 219,114 is 8322.

GCF of Denominators means GCF of 20,9299 as per the given fractions.

GCF of 20,9299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,114

LCM of Fractions 219/20,114/9299 is 8322

3 219, 114
73, 38

∴ So the LCM of the given numbers is 3 x 73 x 38 = 8322

Least Common Multiple of 219,114 with GCF Formula

Least Common Multiple of 219,114 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 219,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,114) = 3

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

GCF(219,114) x common factors =3 x 1 = 3

LCM(219,114) = ( 219 × 114 ) / 3

LCM(219,114) = 24966 / 3

LCM(219,114) = 8322


Lets's calculate GCF of 20,9299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8322/1

Therefore the LCM of Fractions 219/20,114/9299 is 8322

Greatest Common Factor of 20,9299 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,9299 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 9299

List of positive integer factors of 9299 that divides 9299 without a remainder.

1,17,547,9299

Greatest Common Factor

We found the factors 20,9299 . The biggest common factor number is the GCF number.
So the greatest common factor 20,9299 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 219/20, 114/9299

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 219/20, 114/9299?

Answer: LCM of Numerators as per given numbers 219/20, 114/9299 is

LCM of Numerators i.e. for 219,114 is 8322

GCF of denominators i.e. for 20,9299 is 1.

Thus, LCM of Fractions is 8322.Finally, LCM of Fractions for 219/20, 114/9299 is 8322.