Least Common Multiple of 7680/784, 5884/6363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7680/784, 5884/6363 quickly i.e. 11297280/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7680/784, 5884/6363 is 11297280/7.

LCM(7680/784, 5884/6363) = 11297280/7

LCM of 7680/784, 5884/6363

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 7680/784,5884/6363

Given numbers are 7680/784,5884/6363

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 7680,5884

Least Common Multiple of Numerators i.e. LCM of 7680,5884 is 11297280.

GCF of Denominators means GCF of 784,6363 as per the given fractions.

GCF of 784,6363 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7680,5884

LCM of Fractions 7680/784,5884/6363 is 11297280/7

2 7680, 5884
2 3840, 2942
1920, 1471

∴ So the LCM of the given numbers is 2 x 2 x 1920 x 1471 = 11297280

Least Common Multiple of 7680,5884 with GCF Formula

Least Common Multiple of 7680,5884 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 7680,5884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7680,5884) = 4

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

GCF(7680,5884) x common factors =4 x 1 = 4

LCM(7680,5884) = ( 7680 × 5884 ) / 4

LCM(7680,5884) = 45189120 / 4

LCM(7680,5884) = 11297280


Lets's calculate GCF of 784,6363

7 784, 6363
112, 909

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11297280/7

Therefore the LCM of Fractions 7680/784,5884/6363 is 11297280/7

Greatest Common Factor of 784,6363 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,6363 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 6363

List of positive integer factors of 6363 that divides 6363 without a remainder.

1,3,7,9,21,63,101,303,707,909,2121,6363

Greatest Common Factor

We found the factors 784,6363 . The biggest common factor number is the GCF number.
So the greatest common factor 784,6363 is 7.


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 7680/784, 5884/6363

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 7680/784, 5884/6363?

Answer: LCM of Numerators as per given numbers 7680/784, 5884/6363 is

LCM of Numerators i.e. for 7680,5884 is 11297280

GCF of denominators i.e. for 784,6363 is 7.

Thus, LCM of Fractions is 11297280/7.Finally, LCM of Fractions for 7680/784, 5884/6363 is 11297280/7.