Least Common Multiple of 864/441, 7157/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/441, 7157/594 quickly i.e. 687072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/441, 7157/594 is 687072.

LCM(864/441, 7157/594) = 687072

LCM of 864/441, 7157/594

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 864/441,7157/594

Given numbers are 864/441,7157/594

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 864,7157

Least Common Multiple of Numerators i.e. LCM of 864,7157 is 6183648.

GCF of Denominators means GCF of 441,594 as per the given fractions.

GCF of 441,594 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,7157

LCM of Fractions 864/441,7157/594 is 687072

Given numbers has no common factors except 1. So, there LCM is their product i.e 6183648

Least Common Multiple of 864,7157 with GCF Formula

Least Common Multiple of 864,7157 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 864,7157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,7157) = 1

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

GCF(864,7157) x common factors =1 x 1 = 1

LCM(864,7157) = ( 864 × 7157 ) / 1

LCM(864,7157) = 6183648 / 1

LCM(864,7157) = 6183648


Lets's calculate GCF of 441,594

3 441, 594
3 147, 198
49, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6183648/9

Therefore the LCM of Fractions 864/441,7157/594 is 687072

Greatest Common Factor of 441,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,594 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 441,594 . The biggest common factor number is the GCF number.
So the greatest common factor 441,594 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 864/441, 7157/594

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 864/441, 7157/594?

Answer: LCM of Numerators as per given numbers 864/441, 7157/594 is

LCM of Numerators i.e. for 864,7157 is 6183648

GCF of denominators i.e. for 441,594 is 9.

Thus, LCM of Fractions is 687072.Finally, LCM of Fractions for 864/441, 7157/594 is 687072.