Least Common Multiple of 84/289, 16/106, 104/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/289, 16/106, 104/129 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/289, 16/106, 104/129 is 4368.

LCM(84/289, 16/106, 104/129) = 4368

LCM of 84/289, 16/106, 104/129

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 84/289,16/106,104/129

Given numbers are 84/289,16/106,104/129

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 84,16,104

Least Common Multiple of Numerators i.e. LCM of 84,16,104 is 4368.

GCF of Denominators means GCF of 289,106,129 as per the given fractions.

GCF of 289,106,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,16,104

LCM of Fractions 84/289,16/106,104/129 is 4368

2 84, 16, 104
2 42, 8, 52
2 21, 4, 26
21, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 2 x 13 = 4368

Least Common Multiple of 84,16,104 with GCF Formula

Least Common Multiple of 84,16,104 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 84,16,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,16,104) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(84,16,104) x common factors =4 x 8 = 32

LCM(84,16,104) = ( 84 × 16 × 104 ) / 32

LCM(84,16,104) = 139776 / 32

LCM(84,16,104) = 4368


Lets's calculate GCF of 289,106,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4368/1

Therefore the LCM of Fractions 84/289,16/106,104/129 is 4368

Greatest Common Factor of 289,106,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,106,129 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 129

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

1,3,43,129

Greatest Common Factor

We found the factors 289,106,129 . The biggest common factor number is the GCF number.
So the greatest common factor 289,106,129 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 84/289, 16/106, 104/129

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 84/289, 16/106, 104/129?

Answer: LCM of Numerators as per given numbers 84/289, 16/106, 104/129 is

LCM of Numerators i.e. for 84,16,104 is 4368

GCF of denominators i.e. for 289,106,129 is 1.

Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 84/289, 16/106, 104/129 is 4368.