Least Common Multiple of 4356/789, 7184/8388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4356/789, 7184/8388 quickly i.e. 2607792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4356/789, 7184/8388 is 2607792.

LCM(4356/789, 7184/8388) = 2607792

LCM of 4356/789, 7184/8388

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 4356/789,7184/8388

Given numbers are 4356/789,7184/8388

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 4356,7184

Least Common Multiple of Numerators i.e. LCM of 4356,7184 is 7823376.

GCF of Denominators means GCF of 789,8388 as per the given fractions.

GCF of 789,8388 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4356,7184

LCM of Fractions 4356/789,7184/8388 is 2607792

2 4356, 7184
2 2178, 3592
1089, 1796

∴ So the LCM of the given numbers is 2 x 2 x 1089 x 1796 = 7823376

Least Common Multiple of 4356,7184 with GCF Formula

Least Common Multiple of 4356,7184 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 4356,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4356,7184) = 4

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

GCF(4356,7184) x common factors =4 x 1 = 4

LCM(4356,7184) = ( 4356 × 7184 ) / 4

LCM(4356,7184) = 31293504 / 4

LCM(4356,7184) = 7823376


Lets's calculate GCF of 789,8388

3 789, 8388
263, 2796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7823376/3

Therefore the LCM of Fractions 4356/789,7184/8388 is 2607792

Greatest Common Factor of 789,8388 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,8388 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 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388

Greatest Common Factor

We found the factors 789,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 789,8388 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 4356/789, 7184/8388

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 4356/789, 7184/8388?

Answer: LCM of Numerators as per given numbers 4356/789, 7184/8388 is

LCM of Numerators i.e. for 4356,7184 is 7823376

GCF of denominators i.e. for 789,8388 is 3.

Thus, LCM of Fractions is 2607792.Finally, LCM of Fractions for 4356/789, 7184/8388 is 2607792.