Least Common Multiple of 7923/494, 6930/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7923/494, 6930/828 quickly i.e. 9151065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7923/494, 6930/828 is 9151065.

LCM(7923/494, 6930/828) = 9151065

LCM of 7923/494, 6930/828

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 7923/494,6930/828

Given numbers are 7923/494,6930/828

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 7923,6930

Least Common Multiple of Numerators i.e. LCM of 7923,6930 is 18302130.

GCF of Denominators means GCF of 494,828 as per the given fractions.

GCF of 494,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7923,6930

LCM of Fractions 7923/494,6930/828 is 9151065

3 7923, 6930
2641, 2310

∴ So the LCM of the given numbers is 3 x 2641 x 2310 = 18302130

Least Common Multiple of 7923,6930 with GCF Formula

Least Common Multiple of 7923,6930 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 7923,6930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7923,6930) = 3

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

GCF(7923,6930) x common factors =3 x 1 = 3

LCM(7923,6930) = ( 7923 × 6930 ) / 3

LCM(7923,6930) = 54906390 / 3

LCM(7923,6930) = 18302130


Lets's calculate GCF of 494,828

2 494, 828
247, 414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18302130/2

Therefore the LCM of Fractions 7923/494,6930/828 is 9151065

Greatest Common Factor of 494,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,828 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 494,828 . The biggest common factor number is the GCF number.
So the greatest common factor 494,828 is 2.


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 7923/494, 6930/828

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 7923/494, 6930/828?

Answer: LCM of Numerators as per given numbers 7923/494, 6930/828 is

LCM of Numerators i.e. for 7923,6930 is 18302130

GCF of denominators i.e. for 494,828 is 2.

Thus, LCM of Fractions is 9151065.Finally, LCM of Fractions for 7923/494, 6930/828 is 9151065.