Least Common Multiple of 812/531, 3920/9969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/531, 3920/9969 quickly i.e. 113680/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/531, 3920/9969 is 113680/3.

LCM(812/531, 3920/9969) = 113680/3

LCM of 812/531, 3920/9969

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 812/531,3920/9969

Given numbers are 812/531,3920/9969

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 812,3920

Least Common Multiple of Numerators i.e. LCM of 812,3920 is 113680.

GCF of Denominators means GCF of 531,9969 as per the given fractions.

GCF of 531,9969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,3920

LCM of Fractions 812/531,3920/9969 is 113680/3

2 812, 3920
2 406, 1960
7 203, 980
29, 140

∴ So the LCM of the given numbers is 2 x 2 x 7 x 29 x 140 = 113680

Least Common Multiple of 812,3920 with GCF Formula

Least Common Multiple of 812,3920 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 812,3920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,3920) = 28

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

GCF(812,3920) x common factors =28 x 1 = 28

LCM(812,3920) = ( 812 × 3920 ) / 28

LCM(812,3920) = 3183040 / 28

LCM(812,3920) = 113680


Lets's calculate GCF of 531,9969

3 531, 9969
177, 3323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113680/3

Therefore the LCM of Fractions 812/531,3920/9969 is 113680/3

Greatest Common Factor of 531,9969 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,9969 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1,3,3323,9969

Greatest Common Factor

We found the factors 531,9969 . The biggest common factor number is the GCF number.
So the greatest common factor 531,9969 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 812/531, 3920/9969

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 812/531, 3920/9969?

Answer: LCM of Numerators as per given numbers 812/531, 3920/9969 is

LCM of Numerators i.e. for 812,3920 is 113680

GCF of denominators i.e. for 531,9969 is 3.

Thus, LCM of Fractions is 113680/3.Finally, LCM of Fractions for 812/531, 3920/9969 is 113680/3.