Least Common Multiple of 8201/73, 9342/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8201/73, 9342/219 quickly i.e. 76613742/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8201/73, 9342/219 is 76613742/73.

LCM(8201/73, 9342/219) = 76613742/73

LCM of 8201/73, 9342/219

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 8201/73,9342/219

Given numbers are 8201/73,9342/219

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 8201,9342

Least Common Multiple of Numerators i.e. LCM of 8201,9342 is 76613742.

GCF of Denominators means GCF of 73,219 as per the given fractions.

GCF of 73,219 is 73 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8201,9342

LCM of Fractions 8201/73,9342/219 is 76613742/73

Given numbers has no common factors except 1. So, there LCM is their product i.e 76613742

Least Common Multiple of 8201,9342 with GCF Formula

Least Common Multiple of 8201,9342 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 8201,9342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8201,9342) = 1

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

GCF(8201,9342) x common factors =1 x 1 = 1

LCM(8201,9342) = ( 8201 × 9342 ) / 1

LCM(8201,9342) = 76613742 / 1

LCM(8201,9342) = 76613742


Lets's calculate GCF of 73,219

73 73, 219
1, 3

∴ So the GCF of the given numbers is 73 = 73

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76613742/73

Therefore the LCM of Fractions 8201/73,9342/219 is 76613742/73

Greatest Common Factor of 73,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,219 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 73,219 . The biggest common factor number is the GCF number.
So the greatest common factor 73,219 is 73.


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 8201/73, 9342/219

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 8201/73, 9342/219?

Answer: LCM of Numerators as per given numbers 8201/73, 9342/219 is

LCM of Numerators i.e. for 8201,9342 is 76613742

GCF of denominators i.e. for 73,219 is 73.

Thus, LCM of Fractions is 76613742/73.Finally, LCM of Fractions for 8201/73, 9342/219 is 76613742/73.