Least Common Multiple of 17/16, 641/81, 301/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/16, 641/81, 301/631 quickly i.e. 3279997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/16, 641/81, 301/631 is 3279997.

LCM(17/16, 641/81, 301/631) = 3279997

LCM of 17/16, 641/81, 301/631

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 17/16,641/81,301/631

Given numbers are 17/16,641/81,301/631

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 17,641,301

Least Common Multiple of Numerators i.e. LCM of 17,641,301 is 3279997.

GCF of Denominators means GCF of 16,81,631 as per the given fractions.

GCF of 16,81,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,641,301

LCM of Fractions 17/16,641/81,301/631 is 3279997

Given numbers has no common factors except 1. So, there LCM is their product i.e 3279997

Least Common Multiple of 17,641,301 with GCF Formula

Least Common Multiple of 17,641,301 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 17,641,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,641,301) = 1

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

GCF(17,641,301) x common factors =1 x 1 = 1

LCM(17,641,301) = ( 17 × 641 × 301 ) / 1

LCM(17,641,301) = 3279997 / 1

LCM(17,641,301) = 3279997


Lets's calculate GCF of 16,81,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3279997/1

Therefore the LCM of Fractions 17/16,641/81,301/631 is 3279997

Greatest Common Factor of 16,81,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,81,631 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 16,81,631 . The biggest common factor number is the GCF number.
So the greatest common factor 16,81,631 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/16, 641/81, 301/631

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 17/16, 641/81, 301/631?

Answer: LCM of Numerators as per given numbers 17/16, 641/81, 301/631 is

LCM of Numerators i.e. for 17,641,301 is 3279997

GCF of denominators i.e. for 16,81,631 is 1.

Thus, LCM of Fractions is 3279997.Finally, LCM of Fractions for 17/16, 641/81, 301/631 is 3279997.