Least Common Multiple of 368/171, 449/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/171, 449/820 quickly i.e. 165232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/171, 449/820 is 165232.

LCM(368/171, 449/820) = 165232

LCM of 368/171, 449/820

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 368/171,449/820

Given numbers are 368/171,449/820

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 368,449

Least Common Multiple of Numerators i.e. LCM of 368,449 is 165232.

GCF of Denominators means GCF of 171,820 as per the given fractions.

GCF of 171,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,449

LCM of Fractions 368/171,449/820 is 165232

Given numbers has no common factors except 1. So, there LCM is their product i.e 165232

Least Common Multiple of 368,449 with GCF Formula

Least Common Multiple of 368,449 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 368,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,449) = 1

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

GCF(368,449) x common factors =1 x 1 = 1

LCM(368,449) = ( 368 × 449 ) / 1

LCM(368,449) = 165232 / 1

LCM(368,449) = 165232


Lets's calculate GCF of 171,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165232/1

Therefore the LCM of Fractions 368/171,449/820 is 165232

Greatest Common Factor of 171,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,820 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 171,820 . The biggest common factor number is the GCF number.
So the greatest common factor 171,820 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 368/171, 449/820

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 368/171, 449/820?

Answer: LCM of Numerators as per given numbers 368/171, 449/820 is

LCM of Numerators i.e. for 368,449 is 165232

GCF of denominators i.e. for 171,820 is 1.

Thus, LCM of Fractions is 165232.Finally, LCM of Fractions for 368/171, 449/820 is 165232.