Least Common Multiple of 786/104, 9408/8064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/104, 9408/8064 quickly i.e. 154056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/104, 9408/8064 is 154056.

LCM(786/104, 9408/8064) = 154056

LCM of 786/104, 9408/8064

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 786/104,9408/8064

Given numbers are 786/104,9408/8064

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 786,9408

Least Common Multiple of Numerators i.e. LCM of 786,9408 is 1232448.

GCF of Denominators means GCF of 104,8064 as per the given fractions.

GCF of 104,8064 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,9408

LCM of Fractions 786/104,9408/8064 is 154056

2 786, 9408
3 393, 4704
131, 1568

∴ So the LCM of the given numbers is 2 x 3 x 131 x 1568 = 1232448

Least Common Multiple of 786,9408 with GCF Formula

Least Common Multiple of 786,9408 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 786,9408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,9408) = 6

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

GCF(786,9408) x common factors =6 x 1 = 6

LCM(786,9408) = ( 786 × 9408 ) / 6

LCM(786,9408) = 7394688 / 6

LCM(786,9408) = 1232448


Lets's calculate GCF of 104,8064

2 104, 8064
2 52, 4032
2 26, 2016
13, 1008

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1232448/8

Therefore the LCM of Fractions 786/104,9408/8064 is 154056

Greatest Common Factor of 104,8064 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,8064 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Greatest Common Factor

We found the factors 104,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 104,8064 is 8.


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 786/104, 9408/8064

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 786/104, 9408/8064?

Answer: LCM of Numerators as per given numbers 786/104, 9408/8064 is

LCM of Numerators i.e. for 786,9408 is 1232448

GCF of denominators i.e. for 104,8064 is 8.

Thus, LCM of Fractions is 154056.Finally, LCM of Fractions for 786/104, 9408/8064 is 154056.