Least Common Multiple of 12/312, 673/943, 706/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/312, 673/943, 706/844 quickly i.e. 2850828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/312, 673/943, 706/844 is 2850828.

LCM(12/312, 673/943, 706/844) = 2850828

LCM of 12/312, 673/943, 706/844

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 12/312,673/943,706/844

Given numbers are 12/312,673/943,706/844

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 12,673,706

Least Common Multiple of Numerators i.e. LCM of 12,673,706 is 2850828.

GCF of Denominators means GCF of 312,943,844 as per the given fractions.

GCF of 312,943,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,673,706

LCM of Fractions 12/312,673/943,706/844 is 2850828

2 12, 673, 706
6, 673, 353

∴ So the LCM of the given numbers is 2 x 6 x 673 x 353 = 2850828

Least Common Multiple of 12,673,706 with GCF Formula

Least Common Multiple of 12,673,706 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 12,673,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,673,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,673,706) x common factors =1 x 2 = 2

LCM(12,673,706) = ( 12 × 673 × 706 ) / 2

LCM(12,673,706) = 5701656 / 2

LCM(12,673,706) = 2850828


Lets's calculate GCF of 312,943,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2850828/1

Therefore the LCM of Fractions 12/312,673/943,706/844 is 2850828

Greatest Common Factor of 312,943,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,943,844 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 312,943,844 . The biggest common factor number is the GCF number.
So the greatest common factor 312,943,844 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 12/312, 673/943, 706/844

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 12/312, 673/943, 706/844?

Answer: LCM of Numerators as per given numbers 12/312, 673/943, 706/844 is

LCM of Numerators i.e. for 12,673,706 is 2850828

GCF of denominators i.e. for 312,943,844 is 1.

Thus, LCM of Fractions is 2850828.Finally, LCM of Fractions for 12/312, 673/943, 706/844 is 2850828.