Least Common Multiple of 401/609, 171/424, 266/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/609, 171/424, 266/668 quickly i.e. 959994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/609, 171/424, 266/668 is 959994.

LCM(401/609, 171/424, 266/668) = 959994

LCM of 401/609, 171/424, 266/668

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 401/609,171/424,266/668

Given numbers are 401/609,171/424,266/668

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 401,171,266

Least Common Multiple of Numerators i.e. LCM of 401,171,266 is 959994.

GCF of Denominators means GCF of 609,424,668 as per the given fractions.

GCF of 609,424,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,171,266

LCM of Fractions 401/609,171/424,266/668 is 959994

19 401, 171, 266
401, 9, 14

∴ So the LCM of the given numbers is 19 x 401 x 9 x 14 = 959994

Least Common Multiple of 401,171,266 with GCF Formula

Least Common Multiple of 401,171,266 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 401,171,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,171,266) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(401,171,266) x common factors =1 x 19 = 19

LCM(401,171,266) = ( 401 × 171 × 266 ) / 19

LCM(401,171,266) = 18239886 / 19

LCM(401,171,266) = 959994


Lets's calculate GCF of 609,424,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959994/1

Therefore the LCM of Fractions 401/609,171/424,266/668 is 959994

Greatest Common Factor of 609,424,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,424,668 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 609,424,668 . The biggest common factor number is the GCF number.
So the greatest common factor 609,424,668 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 401/609, 171/424, 266/668

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 401/609, 171/424, 266/668?

Answer: LCM of Numerators as per given numbers 401/609, 171/424, 266/668 is

LCM of Numerators i.e. for 401,171,266 is 959994

GCF of denominators i.e. for 609,424,668 is 1.

Thus, LCM of Fractions is 959994.Finally, LCM of Fractions for 401/609, 171/424, 266/668 is 959994.