Least Common Multiple of 768/780, 9348/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/780, 9348/768 quickly i.e. 49856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/780, 9348/768 is 49856.

LCM(768/780, 9348/768) = 49856

LCM of 768/780, 9348/768

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 768/780,9348/768

Given numbers are 768/780,9348/768

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 768,9348

Least Common Multiple of Numerators i.e. LCM of 768,9348 is 598272.

GCF of Denominators means GCF of 780,768 as per the given fractions.

GCF of 780,768 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,9348

LCM of Fractions 768/780,9348/768 is 49856

2 768, 9348
2 384, 4674
3 192, 2337
64, 779

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 779 = 598272

Least Common Multiple of 768,9348 with GCF Formula

Least Common Multiple of 768,9348 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 768,9348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,9348) = 12

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

GCF(768,9348) x common factors =12 x 1 = 12

LCM(768,9348) = ( 768 × 9348 ) / 12

LCM(768,9348) = 7179264 / 12

LCM(768,9348) = 598272


Lets's calculate GCF of 780,768

2 780, 768
2 390, 384
3 195, 192
65, 64

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598272/12

Therefore the LCM of Fractions 768/780,9348/768 is 49856

Greatest Common Factor of 780,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,768 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 780,768 . The biggest common factor number is the GCF number.
So the greatest common factor 780,768 is 12.


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 768/780, 9348/768

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 768/780, 9348/768?

Answer: LCM of Numerators as per given numbers 768/780, 9348/768 is

LCM of Numerators i.e. for 768,9348 is 598272

GCF of denominators i.e. for 780,768 is 12.

Thus, LCM of Fractions is 49856.Finally, LCM of Fractions for 768/780, 9348/768 is 49856.