Least Common Multiple of 9918/733, 9759/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9918/733, 9759/823 quickly i.e. 32263254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9918/733, 9759/823 is 32263254.

LCM(9918/733, 9759/823) = 32263254

LCM of 9918/733, 9759/823

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 9918/733,9759/823

Given numbers are 9918/733,9759/823

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 9918,9759

Least Common Multiple of Numerators i.e. LCM of 9918,9759 is 32263254.

GCF of Denominators means GCF of 733,823 as per the given fractions.

GCF of 733,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9918,9759

LCM of Fractions 9918/733,9759/823 is 32263254

3 9918, 9759
3306, 3253

∴ So the LCM of the given numbers is 3 x 3306 x 3253 = 32263254

Least Common Multiple of 9918,9759 with GCF Formula

Least Common Multiple of 9918,9759 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 9918,9759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9918,9759) = 3

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

GCF(9918,9759) x common factors =3 x 1 = 3

LCM(9918,9759) = ( 9918 × 9759 ) / 3

LCM(9918,9759) = 96789762 / 3

LCM(9918,9759) = 32263254


Lets's calculate GCF of 733,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32263254/1

Therefore the LCM of Fractions 9918/733,9759/823 is 32263254

Greatest Common Factor of 733,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,823 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 733,823 . The biggest common factor number is the GCF number.
So the greatest common factor 733,823 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 9918/733, 9759/823

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 9918/733, 9759/823?

Answer: LCM of Numerators as per given numbers 9918/733, 9759/823 is

LCM of Numerators i.e. for 9918,9759 is 32263254

GCF of denominators i.e. for 733,823 is 1.

Thus, LCM of Fractions is 32263254.Finally, LCM of Fractions for 9918/733, 9759/823 is 32263254.