Least Common Multiple of 7032/868, 9333/8338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7032/868, 9333/8338 quickly i.e. 10938276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7032/868, 9333/8338 is 10938276.

LCM(7032/868, 9333/8338) = 10938276

LCM of 7032/868, 9333/8338

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 7032/868,9333/8338

Given numbers are 7032/868,9333/8338

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 7032,9333

Least Common Multiple of Numerators i.e. LCM of 7032,9333 is 21876552.

GCF of Denominators means GCF of 868,8338 as per the given fractions.

GCF of 868,8338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7032,9333

LCM of Fractions 7032/868,9333/8338 is 10938276

3 7032, 9333
2344, 3111

∴ So the LCM of the given numbers is 3 x 2344 x 3111 = 21876552

Least Common Multiple of 7032,9333 with GCF Formula

Least Common Multiple of 7032,9333 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 7032,9333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7032,9333) = 3

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

GCF(7032,9333) x common factors =3 x 1 = 3

LCM(7032,9333) = ( 7032 × 9333 ) / 3

LCM(7032,9333) = 65629656 / 3

LCM(7032,9333) = 21876552


Lets's calculate GCF of 868,8338

2 868, 8338
434, 4169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21876552/2

Therefore the LCM of Fractions 7032/868,9333/8338 is 10938276

Greatest Common Factor of 868,8338 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,8338 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 8338

List of positive integer factors of 8338 that divides 8338 without a remainder.

1,2,11,22,379,758,4169,8338

Greatest Common Factor

We found the factors 868,8338 . The biggest common factor number is the GCF number.
So the greatest common factor 868,8338 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7032/868, 9333/8338

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 7032/868, 9333/8338?

Answer: LCM of Numerators as per given numbers 7032/868, 9333/8338 is

LCM of Numerators i.e. for 7032,9333 is 21876552

GCF of denominators i.e. for 868,8338 is 2.

Thus, LCM of Fractions is 10938276.Finally, LCM of Fractions for 7032/868, 9333/8338 is 10938276.