Least Common Multiple of 28/129, 8414/4678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/129, 8414/4678 quickly i.e. 16828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/129, 8414/4678 is 16828.

LCM(28/129, 8414/4678) = 16828

LCM of 28/129, 8414/4678

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 28/129,8414/4678

Given numbers are 28/129,8414/4678

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 28,8414

Least Common Multiple of Numerators i.e. LCM of 28,8414 is 16828.

GCF of Denominators means GCF of 129,4678 as per the given fractions.

GCF of 129,4678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,8414

LCM of Fractions 28/129,8414/4678 is 16828

2 28, 8414
7 14, 4207
2, 601

∴ So the LCM of the given numbers is 2 x 7 x 2 x 601 = 16828

Least Common Multiple of 28,8414 with GCF Formula

Least Common Multiple of 28,8414 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 28,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,8414) = 14

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

GCF(28,8414) x common factors =14 x 1 = 14

LCM(28,8414) = ( 28 × 8414 ) / 14

LCM(28,8414) = 235592 / 14

LCM(28,8414) = 16828


Lets's calculate GCF of 129,4678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16828/1

Therefore the LCM of Fractions 28/129,8414/4678 is 16828

Greatest Common Factor of 129,4678 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,4678 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 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Greatest Common Factor

We found the factors 129,4678 . The biggest common factor number is the GCF number.
So the greatest common factor 129,4678 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 28/129, 8414/4678

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 28/129, 8414/4678?

Answer: LCM of Numerators as per given numbers 28/129, 8414/4678 is

LCM of Numerators i.e. for 28,8414 is 16828

GCF of denominators i.e. for 129,4678 is 1.

Thus, LCM of Fractions is 16828.Finally, LCM of Fractions for 28/129, 8414/4678 is 16828.