Least Common Multiple of 168/129, 867/311, 302/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 168/129, 867/311, 302/469 quickly i.e. 7331352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/129, 867/311, 302/469 is 7331352.

LCM(168/129, 867/311, 302/469) = 7331352

LCM of 168/129, 867/311, 302/469

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 168/129,867/311,302/469

Given numbers are 168/129,867/311,302/469

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 168,867,302

Least Common Multiple of Numerators i.e. LCM of 168,867,302 is 7331352.

GCF of Denominators means GCF of 129,311,469 as per the given fractions.

GCF of 129,311,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,867,302

LCM of Fractions 168/129,867/311,302/469 is 7331352

2 168, 867, 302
3 84, 867, 151
28, 289, 151

∴ So the LCM of the given numbers is 2 x 3 x 28 x 289 x 151 = 7331352

Least Common Multiple of 168,867,302 with GCF Formula

Least Common Multiple of 168,867,302 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 168,867,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,867,302) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(168,867,302) x common factors =1 x 6 = 6

LCM(168,867,302) = ( 168 × 867 × 302 ) / 6

LCM(168,867,302) = 43988112 / 6

LCM(168,867,302) = 7331352


Lets's calculate GCF of 129,311,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7331352/1

Therefore the LCM of Fractions 168/129,867/311,302/469 is 7331352

Greatest Common Factor of 129,311,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,311,469 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 129,311,469 . The biggest common factor number is the GCF number.
So the greatest common factor 129,311,469 is 1.


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 168/129, 867/311, 302/469

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 168/129, 867/311, 302/469?

Answer: LCM of Numerators as per given numbers 168/129, 867/311, 302/469 is

LCM of Numerators i.e. for 168,867,302 is 7331352

GCF of denominators i.e. for 129,311,469 is 1.

Thus, LCM of Fractions is 7331352.Finally, LCM of Fractions for 168/129, 867/311, 302/469 is 7331352.