Least Common Multiple of 130/819, 299/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/819, 299/754 quickly i.e. 230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/819, 299/754 is 230.

LCM(130/819, 299/754) = 230

LCM of 130/819, 299/754

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 130/819,299/754

Given numbers are 130/819,299/754

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 130,299

Least Common Multiple of Numerators i.e. LCM of 130,299 is 2990.

GCF of Denominators means GCF of 819,754 as per the given fractions.

GCF of 819,754 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,299

LCM of Fractions 130/819,299/754 is 230

13 130, 299
10, 23

∴ So the LCM of the given numbers is 13 x 10 x 23 = 2990

Least Common Multiple of 130,299 with GCF Formula

Least Common Multiple of 130,299 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 130,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,299) = 13

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

GCF(130,299) x common factors =13 x 1 = 13

LCM(130,299) = ( 130 × 299 ) / 13

LCM(130,299) = 38870 / 13

LCM(130,299) = 2990


Lets's calculate GCF of 819,754

13 819, 754
63, 58

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2990/13

Therefore the LCM of Fractions 130/819,299/754 is 230

Greatest Common Factor of 819,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,754 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 819,754 . The biggest common factor number is the GCF number.
So the greatest common factor 819,754 is 13.


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 130/819, 299/754

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 130/819, 299/754?

Answer: LCM of Numerators as per given numbers 130/819, 299/754 is

LCM of Numerators i.e. for 130,299 is 2990

GCF of denominators i.e. for 819,754 is 13.

Thus, LCM of Fractions is 230.Finally, LCM of Fractions for 130/819, 299/754 is 230.