Least Common Multiple of 19/80, 17/44, 812/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/80, 17/44, 812/324 quickly i.e. 65569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/80, 17/44, 812/324 is 65569.

LCM(19/80, 17/44, 812/324) = 65569

LCM of 19/80, 17/44, 812/324

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 19/80,17/44,812/324

Given numbers are 19/80,17/44,812/324

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 19,17,812

Least Common Multiple of Numerators i.e. LCM of 19,17,812 is 262276.

GCF of Denominators means GCF of 80,44,324 as per the given fractions.

GCF of 80,44,324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,17,812

LCM of Fractions 19/80,17/44,812/324 is 65569

Given numbers has no common factors except 1. So, there LCM is their product i.e 262276

Least Common Multiple of 19,17,812 with GCF Formula

Least Common Multiple of 19,17,812 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 19,17,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,17,812) = 1

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

GCF(19,17,812) x common factors =1 x 1 = 1

LCM(19,17,812) = ( 19 × 17 × 812 ) / 1

LCM(19,17,812) = 262276 / 1

LCM(19,17,812) = 262276


Lets's calculate GCF of 80,44,324

2 80, 44, 324
2 40, 22, 162
20, 11, 81

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262276/4

Therefore the LCM of Fractions 19/80,17/44,812/324 is 65569

Greatest Common Factor of 80,44,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,44,324 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 80,44,324 . The biggest common factor number is the GCF number.
So the greatest common factor 80,44,324 is 4.


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 19/80, 17/44, 812/324

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 19/80, 17/44, 812/324?

Answer: LCM of Numerators as per given numbers 19/80, 17/44, 812/324 is

LCM of Numerators i.e. for 19,17,812 is 262276

GCF of denominators i.e. for 80,44,324 is 4.

Thus, LCM of Fractions is 65569.Finally, LCM of Fractions for 19/80, 17/44, 812/324 is 65569.