Least Common Multiple of 327/821, 3149/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/821, 3149/440 quickly i.e. 1029723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/821, 3149/440 is 1029723.

LCM(327/821, 3149/440) = 1029723

LCM of 327/821, 3149/440

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 327/821,3149/440

Given numbers are 327/821,3149/440

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 327,3149

Least Common Multiple of Numerators i.e. LCM of 327,3149 is 1029723.

GCF of Denominators means GCF of 821,440 as per the given fractions.

GCF of 821,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,3149

LCM of Fractions 327/821,3149/440 is 1029723

Given numbers has no common factors except 1. So, there LCM is their product i.e 1029723

Least Common Multiple of 327,3149 with GCF Formula

Least Common Multiple of 327,3149 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 327,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,3149) = 1

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

GCF(327,3149) x common factors =1 x 1 = 1

LCM(327,3149) = ( 327 × 3149 ) / 1

LCM(327,3149) = 1029723 / 1

LCM(327,3149) = 1029723


Lets's calculate GCF of 821,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1029723/1

Therefore the LCM of Fractions 327/821,3149/440 is 1029723

Greatest Common Factor of 821,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,440 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 821,440 . The biggest common factor number is the GCF number.
So the greatest common factor 821,440 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 327/821, 3149/440

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 327/821, 3149/440?

Answer: LCM of Numerators as per given numbers 327/821, 3149/440 is

LCM of Numerators i.e. for 327,3149 is 1029723

GCF of denominators i.e. for 821,440 is 1.

Thus, LCM of Fractions is 1029723.Finally, LCM of Fractions for 327/821, 3149/440 is 1029723.