Least Common Multiple of 3005/450, 2249/2884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3005/450, 2249/2884 quickly i.e. 6758245/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3005/450, 2249/2884 is 6758245/2.

LCM(3005/450, 2249/2884) = 6758245/2

LCM of 3005/450, 2249/2884

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 3005/450,2249/2884

Given numbers are 3005/450,2249/2884

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 3005,2249

Least Common Multiple of Numerators i.e. LCM of 3005,2249 is 6758245.

GCF of Denominators means GCF of 450,2884 as per the given fractions.

GCF of 450,2884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3005,2249

LCM of Fractions 3005/450,2249/2884 is 6758245/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 6758245

Least Common Multiple of 3005,2249 with GCF Formula

Least Common Multiple of 3005,2249 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 3005,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3005,2249) = 1

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

GCF(3005,2249) x common factors =1 x 1 = 1

LCM(3005,2249) = ( 3005 × 2249 ) / 1

LCM(3005,2249) = 6758245 / 1

LCM(3005,2249) = 6758245


Lets's calculate GCF of 450,2884

2 450, 2884
225, 1442

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6758245/2

Therefore the LCM of Fractions 3005/450,2249/2884 is 6758245/2

Greatest Common Factor of 450,2884 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,2884 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 2884

List of positive integer factors of 2884 that divides 2884 without a remainder.

1,2,4,7,14,28,103,206,412,721,1442,2884

Greatest Common Factor

We found the factors 450,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 450,2884 is 2.


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 3005/450, 2249/2884

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 3005/450, 2249/2884?

Answer: LCM of Numerators as per given numbers 3005/450, 2249/2884 is

LCM of Numerators i.e. for 3005,2249 is 6758245

GCF of denominators i.e. for 450,2884 is 2.

Thus, LCM of Fractions is 6758245/2.Finally, LCM of Fractions for 3005/450, 2249/2884 is 6758245/2.