Least Common Multiple of 652/204, 1813/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 652/204, 1813/116 quickly i.e. 295519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/204, 1813/116 is 295519.

LCM(652/204, 1813/116) = 295519

LCM of 652/204, 1813/116

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 652/204,1813/116

Given numbers are 652/204,1813/116

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 652,1813

Least Common Multiple of Numerators i.e. LCM of 652,1813 is 1182076.

GCF of Denominators means GCF of 204,116 as per the given fractions.

GCF of 204,116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,1813

LCM of Fractions 652/204,1813/116 is 295519

Given numbers has no common factors except 1. So, there LCM is their product i.e 1182076

Least Common Multiple of 652,1813 with GCF Formula

Least Common Multiple of 652,1813 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 652,1813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,1813) = 1

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

GCF(652,1813) x common factors =1 x 1 = 1

LCM(652,1813) = ( 652 × 1813 ) / 1

LCM(652,1813) = 1182076 / 1

LCM(652,1813) = 1182076


Lets's calculate GCF of 204,116

2 204, 116
2 102, 58
51, 29

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1182076/4

Therefore the LCM of Fractions 652/204,1813/116 is 295519

Greatest Common Factor of 204,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,116 By Matching Biggest Common Factor Method

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

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 204,116 . The biggest common factor number is the GCF number.
So the greatest common factor 204,116 is 4.


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 652/204, 1813/116

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 652/204, 1813/116?

Answer: LCM of Numerators as per given numbers 652/204, 1813/116 is

LCM of Numerators i.e. for 652,1813 is 1182076

GCF of denominators i.e. for 204,116 is 4.

Thus, LCM of Fractions is 295519.Finally, LCM of Fractions for 652/204, 1813/116 is 295519.