Least Common Multiple of 129/166, 642/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 129/166, 642/216 quickly i.e. 13803 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 129/166, 642/216 is 13803.

LCM(129/166, 642/216) = 13803

LCM of 129/166, 642/216

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 129/166,642/216

Given numbers are 129/166,642/216

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 129,642

Least Common Multiple of Numerators i.e. LCM of 129,642 is 27606.

GCF of Denominators means GCF of 166,216 as per the given fractions.

GCF of 166,216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 129,642

LCM of Fractions 129/166,642/216 is 13803

3 129, 642
43, 214

∴ So the LCM of the given numbers is 3 x 43 x 214 = 27606

Least Common Multiple of 129,642 with GCF Formula

Least Common Multiple of 129,642 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 129,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,642) = 3

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

GCF(129,642) x common factors =3 x 1 = 3

LCM(129,642) = ( 129 × 642 ) / 3

LCM(129,642) = 82818 / 3

LCM(129,642) = 27606


Lets's calculate GCF of 166,216

2 166, 216
83, 108

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27606/2

Therefore the LCM of Fractions 129/166,642/216 is 13803

Greatest Common Factor of 166,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,216 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 166,216 . The biggest common factor number is the GCF number.
So the greatest common factor 166,216 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 129/166, 642/216

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 129/166, 642/216?

Answer: LCM of Numerators as per given numbers 129/166, 642/216 is

LCM of Numerators i.e. for 129,642 is 27606

GCF of denominators i.e. for 166,216 is 2.

Thus, LCM of Fractions is 13803.Finally, LCM of Fractions for 129/166, 642/216 is 13803.