Least Common Multiple of 738/891, 2646/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/891, 2646/819 quickly i.e. 12054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/891, 2646/819 is 12054.

LCM(738/891, 2646/819) = 12054

LCM of 738/891, 2646/819

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 738/891,2646/819

Given numbers are 738/891,2646/819

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 738,2646

Least Common Multiple of Numerators i.e. LCM of 738,2646 is 108486.

GCF of Denominators means GCF of 891,819 as per the given fractions.

GCF of 891,819 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,2646

LCM of Fractions 738/891,2646/819 is 12054

2 738, 2646
3 369, 1323
3 123, 441
41, 147

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 147 = 108486

Least Common Multiple of 738,2646 with GCF Formula

Least Common Multiple of 738,2646 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 738,2646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,2646) = 18

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

GCF(738,2646) x common factors =18 x 1 = 18

LCM(738,2646) = ( 738 × 2646 ) / 18

LCM(738,2646) = 1952748 / 18

LCM(738,2646) = 108486


Lets's calculate GCF of 891,819

3 891, 819
3 297, 273
99, 91

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108486/9

Therefore the LCM of Fractions 738/891,2646/819 is 12054

Greatest Common Factor of 891,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,819 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 891,819 . The biggest common factor number is the GCF number.
So the greatest common factor 891,819 is 9.


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 738/891, 2646/819

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 738/891, 2646/819?

Answer: LCM of Numerators as per given numbers 738/891, 2646/819 is

LCM of Numerators i.e. for 738,2646 is 108486

GCF of denominators i.e. for 891,819 is 9.

Thus, LCM of Fractions is 12054.Finally, LCM of Fractions for 738/891, 2646/819 is 12054.