Least Common Multiple of 4733/390, 2674/8123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4733/390, 2674/8123 quickly i.e. 12656042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4733/390, 2674/8123 is 12656042.

LCM(4733/390, 2674/8123) = 12656042

LCM of 4733/390, 2674/8123

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 4733/390,2674/8123

Given numbers are 4733/390,2674/8123

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 4733,2674

Least Common Multiple of Numerators i.e. LCM of 4733,2674 is 12656042.

GCF of Denominators means GCF of 390,8123 as per the given fractions.

GCF of 390,8123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4733,2674

LCM of Fractions 4733/390,2674/8123 is 12656042

Given numbers has no common factors except 1. So, there LCM is their product i.e 12656042

Least Common Multiple of 4733,2674 with GCF Formula

Least Common Multiple of 4733,2674 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 4733,2674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4733,2674) = 1

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

GCF(4733,2674) x common factors =1 x 1 = 1

LCM(4733,2674) = ( 4733 × 2674 ) / 1

LCM(4733,2674) = 12656042 / 1

LCM(4733,2674) = 12656042


Lets's calculate GCF of 390,8123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12656042/1

Therefore the LCM of Fractions 4733/390,2674/8123 is 12656042

Greatest Common Factor of 390,8123 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,8123 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Greatest Common Factor

We found the factors 390,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 390,8123 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 4733/390, 2674/8123

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 4733/390, 2674/8123?

Answer: LCM of Numerators as per given numbers 4733/390, 2674/8123 is

LCM of Numerators i.e. for 4733,2674 is 12656042

GCF of denominators i.e. for 390,8123 is 1.

Thus, LCM of Fractions is 12656042.Finally, LCM of Fractions for 4733/390, 2674/8123 is 12656042.