Least Common Multiple of 130/65, 183/9142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/65, 183/9142 quickly i.e. 23790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/65, 183/9142 is 23790.

LCM(130/65, 183/9142) = 23790

LCM of 130/65, 183/9142

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 130/65,183/9142

Given numbers are 130/65,183/9142

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 130,183

Least Common Multiple of Numerators i.e. LCM of 130,183 is 23790.

GCF of Denominators means GCF of 65,9142 as per the given fractions.

GCF of 65,9142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,183

LCM of Fractions 130/65,183/9142 is 23790

Given numbers has no common factors except 1. So, there LCM is their product i.e 23790

Least Common Multiple of 130,183 with GCF Formula

Least Common Multiple of 130,183 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 130,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,183) = 1

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

GCF(130,183) x common factors =1 x 1 = 1

LCM(130,183) = ( 130 × 183 ) / 1

LCM(130,183) = 23790 / 1

LCM(130,183) = 23790


Lets's calculate GCF of 65,9142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23790/1

Therefore the LCM of Fractions 130/65,183/9142 is 23790

Greatest Common Factor of 65,9142 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,9142 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1,2,7,14,653,1306,4571,9142

Greatest Common Factor

We found the factors 65,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 65,9142 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 130/65, 183/9142

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 130/65, 183/9142?

Answer: LCM of Numerators as per given numbers 130/65, 183/9142 is

LCM of Numerators i.e. for 130,183 is 23790

GCF of denominators i.e. for 65,9142 is 1.

Thus, LCM of Fractions is 23790.Finally, LCM of Fractions for 130/65, 183/9142 is 23790.