Least Common Multiple of 3783/450, 9849/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3783/450, 9849/322 quickly i.e. 12419589/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3783/450, 9849/322 is 12419589/2.

LCM(3783/450, 9849/322) = 12419589/2

LCM of 3783/450, 9849/322

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 3783/450,9849/322

Given numbers are 3783/450,9849/322

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 3783,9849

Least Common Multiple of Numerators i.e. LCM of 3783,9849 is 12419589.

GCF of Denominators means GCF of 450,322 as per the given fractions.

GCF of 450,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3783,9849

LCM of Fractions 3783/450,9849/322 is 12419589/2

3 3783, 9849
1261, 3283

∴ So the LCM of the given numbers is 3 x 1261 x 3283 = 12419589

Least Common Multiple of 3783,9849 with GCF Formula

Least Common Multiple of 3783,9849 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 3783,9849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3783,9849) = 3

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

GCF(3783,9849) x common factors =3 x 1 = 3

LCM(3783,9849) = ( 3783 × 9849 ) / 3

LCM(3783,9849) = 37258767 / 3

LCM(3783,9849) = 12419589


Lets's calculate GCF of 450,322

2 450, 322
225, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12419589/2

Therefore the LCM of Fractions 3783/450,9849/322 is 12419589/2

Greatest Common Factor of 450,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,322 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 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 450,322 . The biggest common factor number is the GCF number.
So the greatest common factor 450,322 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 3783/450, 9849/322

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 3783/450, 9849/322?

Answer: LCM of Numerators as per given numbers 3783/450, 9849/322 is

LCM of Numerators i.e. for 3783,9849 is 12419589

GCF of denominators i.e. for 450,322 is 2.

Thus, LCM of Fractions is 12419589/2.Finally, LCM of Fractions for 3783/450, 9849/322 is 12419589/2.