Least Common Multiple of 412/16, 969/17, 743/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/16, 969/17, 743/406 quickly i.e. 296626404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/16, 969/17, 743/406 is 296626404.

LCM(412/16, 969/17, 743/406) = 296626404

LCM of 412/16, 969/17, 743/406

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 412/16,969/17,743/406

Given numbers are 412/16,969/17,743/406

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 412,969,743

Least Common Multiple of Numerators i.e. LCM of 412,969,743 is 296626404.

GCF of Denominators means GCF of 16,17,406 as per the given fractions.

GCF of 16,17,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,969,743

LCM of Fractions 412/16,969/17,743/406 is 296626404

Given numbers has no common factors except 1. So, there LCM is their product i.e 296626404

Least Common Multiple of 412,969,743 with GCF Formula

Least Common Multiple of 412,969,743 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 412,969,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,969,743) = 1

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

GCF(412,969,743) x common factors =1 x 1 = 1

LCM(412,969,743) = ( 412 × 969 × 743 ) / 1

LCM(412,969,743) = 296626404 / 1

LCM(412,969,743) = 296626404


Lets's calculate GCF of 16,17,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296626404/1

Therefore the LCM of Fractions 412/16,969/17,743/406 is 296626404

Greatest Common Factor of 16,17,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,17,406 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 16,17,406 . The biggest common factor number is the GCF number.
So the greatest common factor 16,17,406 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 412/16, 969/17, 743/406

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 412/16, 969/17, 743/406?

Answer: LCM of Numerators as per given numbers 412/16, 969/17, 743/406 is

LCM of Numerators i.e. for 412,969,743 is 296626404

GCF of denominators i.e. for 16,17,406 is 1.

Thus, LCM of Fractions is 296626404.Finally, LCM of Fractions for 412/16, 969/17, 743/406 is 296626404.