Least Common Multiple of 5784/824, 9655/4717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5784/824, 9655/4717 quickly i.e. 55844520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5784/824, 9655/4717 is 55844520.

LCM(5784/824, 9655/4717) = 55844520

LCM of 5784/824, 9655/4717

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 5784/824,9655/4717

Given numbers are 5784/824,9655/4717

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 5784,9655

Least Common Multiple of Numerators i.e. LCM of 5784,9655 is 55844520.

GCF of Denominators means GCF of 824,4717 as per the given fractions.

GCF of 824,4717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5784,9655

LCM of Fractions 5784/824,9655/4717 is 55844520

Given numbers has no common factors except 1. So, there LCM is their product i.e 55844520

Least Common Multiple of 5784,9655 with GCF Formula

Least Common Multiple of 5784,9655 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 5784,9655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5784,9655) = 1

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

GCF(5784,9655) x common factors =1 x 1 = 1

LCM(5784,9655) = ( 5784 × 9655 ) / 1

LCM(5784,9655) = 55844520 / 1

LCM(5784,9655) = 55844520


Lets's calculate GCF of 824,4717

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55844520/1

Therefore the LCM of Fractions 5784/824,9655/4717 is 55844520

Greatest Common Factor of 824,4717 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,4717 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 4717

List of positive integer factors of 4717 that divides 4717 without a remainder.

1,53,89,4717

Greatest Common Factor

We found the factors 824,4717 . The biggest common factor number is the GCF number.
So the greatest common factor 824,4717 is 1.


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 5784/824, 9655/4717

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 5784/824, 9655/4717?

Answer: LCM of Numerators as per given numbers 5784/824, 9655/4717 is

LCM of Numerators i.e. for 5784,9655 is 55844520

GCF of denominators i.e. for 824,4717 is 1.

Thus, LCM of Fractions is 55844520.Finally, LCM of Fractions for 5784/824, 9655/4717 is 55844520.