Least Common Multiple of 643/83, 181/9130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/83, 181/9130 quickly i.e. 116383/83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/83, 181/9130 is 116383/83.

LCM(643/83, 181/9130) = 116383/83

LCM of 643/83, 181/9130

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 643/83,181/9130

Given numbers are 643/83,181/9130

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 643,181

Least Common Multiple of Numerators i.e. LCM of 643,181 is 116383.

GCF of Denominators means GCF of 83,9130 as per the given fractions.

GCF of 83,9130 is 83 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,181

LCM of Fractions 643/83,181/9130 is 116383/83

Given numbers has no common factors except 1. So, there LCM is their product i.e 116383

Least Common Multiple of 643,181 with GCF Formula

Least Common Multiple of 643,181 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 643,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,181) = 1

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

GCF(643,181) x common factors =1 x 1 = 1

LCM(643,181) = ( 643 × 181 ) / 1

LCM(643,181) = 116383 / 1

LCM(643,181) = 116383


Lets's calculate GCF of 83,9130

83 83, 9130
1, 110

∴ So the GCF of the given numbers is 83 = 83

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116383/83

Therefore the LCM of Fractions 643/83,181/9130 is 116383/83

Greatest Common Factor of 83,9130 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,9130 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130

Greatest Common Factor

We found the factors 83,9130 . The biggest common factor number is the GCF number.
So the greatest common factor 83,9130 is 83.


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 643/83, 181/9130

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 643/83, 181/9130?

Answer: LCM of Numerators as per given numbers 643/83, 181/9130 is

LCM of Numerators i.e. for 643,181 is 116383

GCF of denominators i.e. for 83,9130 is 83.

Thus, LCM of Fractions is 116383/83.Finally, LCM of Fractions for 643/83, 181/9130 is 116383/83.