Least Common Multiple of 67/446, 53/290, 180/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/446, 53/290, 180/204 quickly i.e. 319590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/446, 53/290, 180/204 is 319590.

LCM(67/446, 53/290, 180/204) = 319590

LCM of 67/446, 53/290, 180/204

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 67/446,53/290,180/204

Given numbers are 67/446,53/290,180/204

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 67,53,180

Least Common Multiple of Numerators i.e. LCM of 67,53,180 is 639180.

GCF of Denominators means GCF of 446,290,204 as per the given fractions.

GCF of 446,290,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,53,180

LCM of Fractions 67/446,53/290,180/204 is 319590

Given numbers has no common factors except 1. So, there LCM is their product i.e 639180

Least Common Multiple of 67,53,180 with GCF Formula

Least Common Multiple of 67,53,180 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 67,53,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,53,180) = 1

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

GCF(67,53,180) x common factors =1 x 1 = 1

LCM(67,53,180) = ( 67 × 53 × 180 ) / 1

LCM(67,53,180) = 639180 / 1

LCM(67,53,180) = 639180


Lets's calculate GCF of 446,290,204

2 446, 290, 204
223, 145, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639180/2

Therefore the LCM of Fractions 67/446,53/290,180/204 is 319590

Greatest Common Factor of 446,290,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,290,204 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 446,290,204 . The biggest common factor number is the GCF number.
So the greatest common factor 446,290,204 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 67/446, 53/290, 180/204

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 67/446, 53/290, 180/204?

Answer: LCM of Numerators as per given numbers 67/446, 53/290, 180/204 is

LCM of Numerators i.e. for 67,53,180 is 639180

GCF of denominators i.e. for 446,290,204 is 2.

Thus, LCM of Fractions is 319590.Finally, LCM of Fractions for 67/446, 53/290, 180/204 is 319590.