Least Common Multiple of 12/513, 29/855, 746/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/513, 29/855, 746/279 quickly i.e. 129804/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/513, 29/855, 746/279 is 129804/9.

LCM(12/513, 29/855, 746/279) = 129804/9

LCM of 12/513, 29/855, 746/279

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 12/513,29/855,746/279

Given numbers are 12/513,29/855,746/279

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 12,29,746

Least Common Multiple of Numerators i.e. LCM of 12,29,746 is 129804.

GCF of Denominators means GCF of 513,855,279 as per the given fractions.

GCF of 513,855,279 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,29,746

LCM of Fractions 12/513,29/855,746/279 is 129804/9

2 12, 29, 746
6, 29, 373

∴ So the LCM of the given numbers is 2 x 6 x 29 x 373 = 129804

Least Common Multiple of 12,29,746 with GCF Formula

Least Common Multiple of 12,29,746 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 12,29,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,29,746) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,29,746) x common factors =1 x 2 = 2

LCM(12,29,746) = ( 12 × 29 × 746 ) / 2

LCM(12,29,746) = 259608 / 2

LCM(12,29,746) = 129804


Lets's calculate GCF of 513,855,279

3 513, 855, 279
3 171, 285, 93
57, 95, 31

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129804/9

Therefore the LCM of Fractions 12/513,29/855,746/279 is 129804/9

Greatest Common Factor of 513,855,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,855,279 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 513,855,279 . The biggest common factor number is the GCF number.
So the greatest common factor 513,855,279 is 9.


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 12/513, 29/855, 746/279

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 12/513, 29/855, 746/279?

Answer: LCM of Numerators as per given numbers 12/513, 29/855, 746/279 is

LCM of Numerators i.e. for 12,29,746 is 129804

GCF of denominators i.e. for 513,855,279 is 9.

Thus, LCM of Fractions is 129804/9.Finally, LCM of Fractions for 12/513, 29/855, 746/279 is 129804/9.