Least Common Multiple of 9676/513, 6496/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9676/513, 6496/960 quickly i.e. 15713824/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9676/513, 6496/960 is 15713824/3.

LCM(9676/513, 6496/960) = 15713824/3

LCM of 9676/513, 6496/960

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 9676/513,6496/960

Given numbers are 9676/513,6496/960

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 9676,6496

Least Common Multiple of Numerators i.e. LCM of 9676,6496 is 15713824.

GCF of Denominators means GCF of 513,960 as per the given fractions.

GCF of 513,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9676,6496

LCM of Fractions 9676/513,6496/960 is 15713824/3

2 9676, 6496
2 4838, 3248
2419, 1624

∴ So the LCM of the given numbers is 2 x 2 x 2419 x 1624 = 15713824

Least Common Multiple of 9676,6496 with GCF Formula

Least Common Multiple of 9676,6496 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 9676,6496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9676,6496) = 4

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

GCF(9676,6496) x common factors =4 x 1 = 4

LCM(9676,6496) = ( 9676 × 6496 ) / 4

LCM(9676,6496) = 62855296 / 4

LCM(9676,6496) = 15713824


Lets's calculate GCF of 513,960

3 513, 960
171, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15713824/3

Therefore the LCM of Fractions 9676/513,6496/960 is 15713824/3

Greatest Common Factor of 513,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,960 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 513,960 . The biggest common factor number is the GCF number.
So the greatest common factor 513,960 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 9676/513, 6496/960

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 9676/513, 6496/960?

Answer: LCM of Numerators as per given numbers 9676/513, 6496/960 is

LCM of Numerators i.e. for 9676,6496 is 15713824

GCF of denominators i.e. for 513,960 is 3.

Thus, LCM of Fractions is 15713824/3.Finally, LCM of Fractions for 9676/513, 6496/960 is 15713824/3.