Least Common Multiple of 71/27, 74/16, 401/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/27, 74/16, 401/75 quickly i.e. 2106854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/27, 74/16, 401/75 is 2106854.

LCM(71/27, 74/16, 401/75) = 2106854

LCM of 71/27, 74/16, 401/75

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 71/27,74/16,401/75

Given numbers are 71/27,74/16,401/75

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 71,74,401

Least Common Multiple of Numerators i.e. LCM of 71,74,401 is 2106854.

GCF of Denominators means GCF of 27,16,75 as per the given fractions.

GCF of 27,16,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,74,401

LCM of Fractions 71/27,74/16,401/75 is 2106854

Given numbers has no common factors except 1. So, there LCM is their product i.e 2106854

Least Common Multiple of 71,74,401 with GCF Formula

Least Common Multiple of 71,74,401 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 71,74,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,74,401) = 1

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

GCF(71,74,401) x common factors =1 x 1 = 1

LCM(71,74,401) = ( 71 × 74 × 401 ) / 1

LCM(71,74,401) = 2106854 / 1

LCM(71,74,401) = 2106854


Lets's calculate GCF of 27,16,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2106854/1

Therefore the LCM of Fractions 71/27,74/16,401/75 is 2106854

Greatest Common Factor of 27,16,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,16,75 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 27,16,75 . The biggest common factor number is the GCF number.
So the greatest common factor 27,16,75 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 71/27, 74/16, 401/75

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 71/27, 74/16, 401/75?

Answer: LCM of Numerators as per given numbers 71/27, 74/16, 401/75 is

LCM of Numerators i.e. for 71,74,401 is 2106854

GCF of denominators i.e. for 27,16,75 is 1.

Thus, LCM of Fractions is 2106854.Finally, LCM of Fractions for 71/27, 74/16, 401/75 is 2106854.