Least Common Multiple of 7412/789, 8800/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7412/789, 8800/405 quickly i.e. 16306400/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7412/789, 8800/405 is 16306400/3.

LCM(7412/789, 8800/405) = 16306400/3

LCM of 7412/789, 8800/405

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 7412/789,8800/405

Given numbers are 7412/789,8800/405

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 7412,8800

Least Common Multiple of Numerators i.e. LCM of 7412,8800 is 16306400.

GCF of Denominators means GCF of 789,405 as per the given fractions.

GCF of 789,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7412,8800

LCM of Fractions 7412/789,8800/405 is 16306400/3

2 7412, 8800
2 3706, 4400
1853, 2200

∴ So the LCM of the given numbers is 2 x 2 x 1853 x 2200 = 16306400

Least Common Multiple of 7412,8800 with GCF Formula

Least Common Multiple of 7412,8800 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 7412,8800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7412,8800) = 4

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

GCF(7412,8800) x common factors =4 x 1 = 4

LCM(7412,8800) = ( 7412 × 8800 ) / 4

LCM(7412,8800) = 65225600 / 4

LCM(7412,8800) = 16306400


Lets's calculate GCF of 789,405

3 789, 405
263, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16306400/3

Therefore the LCM of Fractions 7412/789,8800/405 is 16306400/3

Greatest Common Factor of 789,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,405 By Matching Biggest Common Factor Method

Factors of 789

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

1,3,263,789

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 789,405 . The biggest common factor number is the GCF number.
So the greatest common factor 789,405 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 7412/789, 8800/405

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 7412/789, 8800/405?

Answer: LCM of Numerators as per given numbers 7412/789, 8800/405 is

LCM of Numerators i.e. for 7412,8800 is 16306400

GCF of denominators i.e. for 789,405 is 3.

Thus, LCM of Fractions is 16306400/3.Finally, LCM of Fractions for 7412/789, 8800/405 is 16306400/3.