Least Common Multiple of 6812/429, 4794/8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6812/429, 4794/8740 quickly i.e. 16328364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6812/429, 4794/8740 is 16328364.

LCM(6812/429, 4794/8740) = 16328364

LCM of 6812/429, 4794/8740

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 6812/429,4794/8740

Given numbers are 6812/429,4794/8740

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 6812,4794

Least Common Multiple of Numerators i.e. LCM of 6812,4794 is 16328364.

GCF of Denominators means GCF of 429,8740 as per the given fractions.

GCF of 429,8740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6812,4794

LCM of Fractions 6812/429,4794/8740 is 16328364

2 6812, 4794
3406, 2397

∴ So the LCM of the given numbers is 2 x 3406 x 2397 = 16328364

Least Common Multiple of 6812,4794 with GCF Formula

Least Common Multiple of 6812,4794 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 6812,4794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6812,4794) = 2

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

GCF(6812,4794) x common factors =2 x 1 = 2

LCM(6812,4794) = ( 6812 × 4794 ) / 2

LCM(6812,4794) = 32656728 / 2

LCM(6812,4794) = 16328364


Lets's calculate GCF of 429,8740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16328364/1

Therefore the LCM of Fractions 6812/429,4794/8740 is 16328364

Greatest Common Factor of 429,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,8740 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 429,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 429,8740 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 6812/429, 4794/8740

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 6812/429, 4794/8740?

Answer: LCM of Numerators as per given numbers 6812/429, 4794/8740 is

LCM of Numerators i.e. for 6812,4794 is 16328364

GCF of denominators i.e. for 429,8740 is 1.

Thus, LCM of Fractions is 16328364.Finally, LCM of Fractions for 6812/429, 4794/8740 is 16328364.