Least Common Multiple of 789/856, 675/816, 936/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/856, 675/816, 936/907 quickly i.e. 18462600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/856, 675/816, 936/907 is 18462600.

LCM(789/856, 675/816, 936/907) = 18462600

LCM of 789/856, 675/816, 936/907

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 789/856,675/816,936/907

Given numbers are 789/856,675/816,936/907

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 789,675,936

Least Common Multiple of Numerators i.e. LCM of 789,675,936 is 18462600.

GCF of Denominators means GCF of 856,816,907 as per the given fractions.

GCF of 856,816,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,675,936

LCM of Fractions 789/856,675/816,936/907 is 18462600

3 789, 675, 936
3 263, 225, 312
263, 75, 104

∴ So the LCM of the given numbers is 3 x 3 x 263 x 75 x 104 = 18462600

Least Common Multiple of 789,675,936 with GCF Formula

Least Common Multiple of 789,675,936 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 789,675,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,675,936) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(789,675,936) x common factors =3 x 9 = 27

LCM(789,675,936) = ( 789 × 675 × 936 ) / 27

LCM(789,675,936) = 498490200 / 27

LCM(789,675,936) = 18462600


Lets's calculate GCF of 856,816,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18462600/1

Therefore the LCM of Fractions 789/856,675/816,936/907 is 18462600

Greatest Common Factor of 856,816,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,816,907 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 856,816,907 . The biggest common factor number is the GCF number.
So the greatest common factor 856,816,907 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 789/856, 675/816, 936/907

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 789/856, 675/816, 936/907?

Answer: LCM of Numerators as per given numbers 789/856, 675/816, 936/907 is

LCM of Numerators i.e. for 789,675,936 is 18462600

GCF of denominators i.e. for 856,816,907 is 1.

Thus, LCM of Fractions is 18462600.Finally, LCM of Fractions for 789/856, 675/816, 936/907 is 18462600.