Least Common Multiple of 812/32, 133/9444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/32, 133/9444 quickly i.e. 3857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/32, 133/9444 is 3857.

LCM(812/32, 133/9444) = 3857

LCM of 812/32, 133/9444

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 812/32,133/9444

Given numbers are 812/32,133/9444

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 812,133

Least Common Multiple of Numerators i.e. LCM of 812,133 is 15428.

GCF of Denominators means GCF of 32,9444 as per the given fractions.

GCF of 32,9444 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,133

LCM of Fractions 812/32,133/9444 is 3857

7 812, 133
116, 19

∴ So the LCM of the given numbers is 7 x 116 x 19 = 15428

Least Common Multiple of 812,133 with GCF Formula

Least Common Multiple of 812,133 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 812,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,133) = 7

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

GCF(812,133) x common factors =7 x 1 = 7

LCM(812,133) = ( 812 × 133 ) / 7

LCM(812,133) = 107996 / 7

LCM(812,133) = 15428


Lets's calculate GCF of 32,9444

2 32, 9444
2 16, 4722
8, 2361

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15428/4

Therefore the LCM of Fractions 812/32,133/9444 is 3857

Greatest Common Factor of 32,9444 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9444 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Greatest Common Factor

We found the factors 32,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9444 is 4.


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 812/32, 133/9444

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 812/32, 133/9444?

Answer: LCM of Numerators as per given numbers 812/32, 133/9444 is

LCM of Numerators i.e. for 812,133 is 15428

GCF of denominators i.e. for 32,9444 is 4.

Thus, LCM of Fractions is 3857.Finally, LCM of Fractions for 812/32, 133/9444 is 3857.