Least Common Multiple of 72/891, 582/864, 526/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/891, 582/864, 526/789 quickly i.e. 612264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/891, 582/864, 526/789 is 612264.

LCM(72/891, 582/864, 526/789) = 612264

LCM of 72/891, 582/864, 526/789

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 72/891,582/864,526/789

Given numbers are 72/891,582/864,526/789

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 72,582,526

Least Common Multiple of Numerators i.e. LCM of 72,582,526 is 1836792.

GCF of Denominators means GCF of 891,864,789 as per the given fractions.

GCF of 891,864,789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,582,526

LCM of Fractions 72/891,582/864,526/789 is 612264

2 72, 582, 526
3 36, 291, 263
12, 97, 263

∴ So the LCM of the given numbers is 2 x 3 x 12 x 97 x 263 = 1836792

Least Common Multiple of 72,582,526 with GCF Formula

Least Common Multiple of 72,582,526 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 72,582,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,582,526) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(72,582,526) x common factors =2 x 6 = 12

LCM(72,582,526) = ( 72 × 582 × 526 ) / 12

LCM(72,582,526) = 22041504 / 12

LCM(72,582,526) = 1836792


Lets's calculate GCF of 891,864,789

3 891, 864, 789
297, 288, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1836792/3

Therefore the LCM of Fractions 72/891,582/864,526/789 is 612264

Greatest Common Factor of 891,864,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,864,789 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 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 891,864,789 . The biggest common factor number is the GCF number.
So the greatest common factor 891,864,789 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 72/891, 582/864, 526/789

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 72/891, 582/864, 526/789?

Answer: LCM of Numerators as per given numbers 72/891, 582/864, 526/789 is

LCM of Numerators i.e. for 72,582,526 is 1836792

GCF of denominators i.e. for 891,864,789 is 3.

Thus, LCM of Fractions is 612264.Finally, LCM of Fractions for 72/891, 582/864, 526/789 is 612264.