Least Common Multiple of 17/82, 30/23, 34/40, 631/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/82, 30/23, 34/40, 631/11 quickly i.e. 321810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/82, 30/23, 34/40, 631/11 is 321810.

LCM(17/82, 30/23, 34/40, 631/11) = 321810

LCM of 17/82, 30/23, 34/40, 631/11

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 17/82,30/23,34/40,631/11

Given numbers are 17/82,30/23,34/40,631/11

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 17,30,34,631

Least Common Multiple of Numerators i.e. LCM of 17,30,34,631 is 321810.

GCF of Denominators means GCF of 82,23,40,11 as per the given fractions.

GCF of 82,23,40,11 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,30,34,631

LCM of Fractions 17/82,30/23,34/40,631/11 is 321810

2 17, 30, 34, 631
17 17, 15, 17, 631
1, 15, 1, 631

∴ So the LCM of the given numbers is 2 x 17 x 1 x 15 x 1 x 631 = 321810

Least Common Multiple of 17,30,34,631 with GCF Formula

Least Common Multiple of 17,30,34,631 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 17,30,34,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,30,34,631) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(17,30,34,631) x common factors =1 x 34 = 34

LCM(17,30,34,631) = ( 17 × 30 × 34 × 631 ) / 34

LCM(17,30,34,631) = 10941540 / 34

LCM(17,30,34,631) = 321810


Lets's calculate GCF of 82,23,40,11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321810/1

Therefore the LCM of Fractions 17/82,30/23,34/40,631/11 is 321810

Greatest Common Factor of 82,23,40,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,23,40,11 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 82,23,40,11 . The biggest common factor number is the GCF number.
So the greatest common factor 82,23,40,11 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 17/82, 30/23, 34/40, 631/11

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 17/82, 30/23, 34/40, 631/11?

Answer: LCM of Numerators as per given numbers 17/82, 30/23, 34/40, 631/11 is

LCM of Numerators i.e. for 17,30,34,631 is 321810

GCF of denominators i.e. for 82,23,40,11 is 1.

Thus, LCM of Fractions is 321810.Finally, LCM of Fractions for 17/82, 30/23, 34/40, 631/11 is 321810.