Least Common Multiple of 8373/633, 9500/4623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8373/633, 9500/4623 quickly i.e. 26514500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8373/633, 9500/4623 is 26514500.

LCM(8373/633, 9500/4623) = 26514500

LCM of 8373/633, 9500/4623

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 8373/633,9500/4623

Given numbers are 8373/633,9500/4623

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 8373,9500

Least Common Multiple of Numerators i.e. LCM of 8373,9500 is 79543500.

GCF of Denominators means GCF of 633,4623 as per the given fractions.

GCF of 633,4623 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8373,9500

LCM of Fractions 8373/633,9500/4623 is 26514500

Given numbers has no common factors except 1. So, there LCM is their product i.e 79543500

Least Common Multiple of 8373,9500 with GCF Formula

Least Common Multiple of 8373,9500 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 8373,9500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8373,9500) = 1

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

GCF(8373,9500) x common factors =1 x 1 = 1

LCM(8373,9500) = ( 8373 × 9500 ) / 1

LCM(8373,9500) = 79543500 / 1

LCM(8373,9500) = 79543500


Lets's calculate GCF of 633,4623

3 633, 4623
211, 1541

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79543500/3

Therefore the LCM of Fractions 8373/633,9500/4623 is 26514500

Greatest Common Factor of 633,4623 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,4623 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1,3,23,67,69,201,1541,4623

Greatest Common Factor

We found the factors 633,4623 . The biggest common factor number is the GCF number.
So the greatest common factor 633,4623 is 3.


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 8373/633, 9500/4623

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 8373/633, 9500/4623?

Answer: LCM of Numerators as per given numbers 8373/633, 9500/4623 is

LCM of Numerators i.e. for 8373,9500 is 79543500

GCF of denominators i.e. for 633,4623 is 3.

Thus, LCM of Fractions is 26514500.Finally, LCM of Fractions for 8373/633, 9500/4623 is 26514500.