Least Common Multiple of 726/646, 669/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/646, 669/672 quickly i.e. 80949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/646, 669/672 is 80949.

LCM(726/646, 669/672) = 80949

LCM of 726/646, 669/672

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 726/646,669/672

Given numbers are 726/646,669/672

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 726,669

Least Common Multiple of Numerators i.e. LCM of 726,669 is 161898.

GCF of Denominators means GCF of 646,672 as per the given fractions.

GCF of 646,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,669

LCM of Fractions 726/646,669/672 is 80949

3 726, 669
242, 223

∴ So the LCM of the given numbers is 3 x 242 x 223 = 161898

Least Common Multiple of 726,669 with GCF Formula

Least Common Multiple of 726,669 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 726,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,669) = 3

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

GCF(726,669) x common factors =3 x 1 = 3

LCM(726,669) = ( 726 × 669 ) / 3

LCM(726,669) = 485694 / 3

LCM(726,669) = 161898


Lets's calculate GCF of 646,672

2 646, 672
323, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161898/2

Therefore the LCM of Fractions 726/646,669/672 is 80949

Greatest Common Factor of 646,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,672 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 646,672 . The biggest common factor number is the GCF number.
So the greatest common factor 646,672 is 2.


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 726/646, 669/672

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 726/646, 669/672?

Answer: LCM of Numerators as per given numbers 726/646, 669/672 is

LCM of Numerators i.e. for 726,669 is 161898

GCF of denominators i.e. for 646,672 is 2.

Thus, LCM of Fractions is 80949.Finally, LCM of Fractions for 726/646, 669/672 is 80949.