Least Common Multiple of 13/195, 51/765, 132/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/195, 51/765, 132/874 quickly i.e. 29172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/195, 51/765, 132/874 is 29172.

LCM(13/195, 51/765, 132/874) = 29172

LCM of 13/195, 51/765, 132/874

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 13/195,51/765,132/874

Given numbers are 13/195,51/765,132/874

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 13,51,132

Least Common Multiple of Numerators i.e. LCM of 13,51,132 is 29172.

GCF of Denominators means GCF of 195,765,874 as per the given fractions.

GCF of 195,765,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,51,132

LCM of Fractions 13/195,51/765,132/874 is 29172

3 13, 51, 132
13, 17, 44

∴ So the LCM of the given numbers is 3 x 13 x 17 x 44 = 29172

Least Common Multiple of 13,51,132 with GCF Formula

Least Common Multiple of 13,51,132 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 13,51,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,51,132) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,51,132) x common factors =1 x 3 = 3

LCM(13,51,132) = ( 13 × 51 × 132 ) / 3

LCM(13,51,132) = 87516 / 3

LCM(13,51,132) = 29172


Lets's calculate GCF of 195,765,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29172/1

Therefore the LCM of Fractions 13/195,51/765,132/874 is 29172

Greatest Common Factor of 195,765,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,765,874 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 195,765,874 . The biggest common factor number is the GCF number.
So the greatest common factor 195,765,874 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 13/195, 51/765, 132/874

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 13/195, 51/765, 132/874?

Answer: LCM of Numerators as per given numbers 13/195, 51/765, 132/874 is

LCM of Numerators i.e. for 13,51,132 is 29172

GCF of denominators i.e. for 195,765,874 is 1.

Thus, LCM of Fractions is 29172.Finally, LCM of Fractions for 13/195, 51/765, 132/874 is 29172.