Least Common Multiple of 3001/618, 5824/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3001/618, 5824/824 quickly i.e. 17477824/206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3001/618, 5824/824 is 17477824/206.

LCM(3001/618, 5824/824) = 17477824/206

LCM of 3001/618, 5824/824

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 3001/618,5824/824

Given numbers are 3001/618,5824/824

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 3001,5824

Least Common Multiple of Numerators i.e. LCM of 3001,5824 is 17477824.

GCF of Denominators means GCF of 618,824 as per the given fractions.

GCF of 618,824 is 206 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3001,5824

LCM of Fractions 3001/618,5824/824 is 17477824/206

Given numbers has no common factors except 1. So, there LCM is their product i.e 17477824

Least Common Multiple of 3001,5824 with GCF Formula

Least Common Multiple of 3001,5824 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 3001,5824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3001,5824) = 1

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

GCF(3001,5824) x common factors =1 x 1 = 1

LCM(3001,5824) = ( 3001 × 5824 ) / 1

LCM(3001,5824) = 17477824 / 1

LCM(3001,5824) = 17477824


Lets's calculate GCF of 618,824

2 618, 824
103 309, 412
3, 4

∴ So the GCF of the given numbers is 2 x 103 = 206

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17477824/206

Therefore the LCM of Fractions 3001/618,5824/824 is 17477824/206

Greatest Common Factor of 618,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,824 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 824

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

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

Greatest Common Factor

We found the factors 618,824 . The biggest common factor number is the GCF number.
So the greatest common factor 618,824 is 206.


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 3001/618, 5824/824

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 3001/618, 5824/824?

Answer: LCM of Numerators as per given numbers 3001/618, 5824/824 is

LCM of Numerators i.e. for 3001,5824 is 17477824

GCF of denominators i.e. for 618,824 is 206.

Thus, LCM of Fractions is 17477824/206.Finally, LCM of Fractions for 3001/618, 5824/824 is 17477824/206.