Least Common Multiple of 8/14, 2/23, 3/16, 17/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/14, 2/23, 3/16, 17/615 quickly i.e. 408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/14, 2/23, 3/16, 17/615 is 408.

LCM(8/14, 2/23, 3/16, 17/615) = 408

LCM of 8/14, 2/23, 3/16, 17/615

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 8/14,2/23,3/16,17/615

Given numbers are 8/14,2/23,3/16,17/615

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 8,2,3,17

Least Common Multiple of Numerators i.e. LCM of 8,2,3,17 is 408.

GCF of Denominators means GCF of 14,23,16,615 as per the given fractions.

GCF of 14,23,16,615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,2,3,17

LCM of Fractions 8/14,2/23,3/16,17/615 is 408

2 8, 2, 3, 17
4, 1, 3, 17

∴ So the LCM of the given numbers is 2 x 4 x 1 x 3 x 17 = 408

Least Common Multiple of 8,2,3,17 with GCF Formula

Least Common Multiple of 8,2,3,17 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 8,2,3,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,2,3,17) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(8,2,3,17) x common factors =1 x 2 = 2

LCM(8,2,3,17) = ( 8 × 2 × 3 × 17 ) / 2

LCM(8,2,3,17) = 816 / 2

LCM(8,2,3,17) = 408


Lets's calculate GCF of 14,23,16,615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408/1

Therefore the LCM of Fractions 8/14,2/23,3/16,17/615 is 408

Greatest Common Factor of 14,23,16,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,23,16,615 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 23

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

1,23

Factors of 16

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

1,2,4,8,16

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 14,23,16,615 . The biggest common factor number is the GCF number.
So the greatest common factor 14,23,16,615 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 8/14, 2/23, 3/16, 17/615

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 8/14, 2/23, 3/16, 17/615?

Answer: LCM of Numerators as per given numbers 8/14, 2/23, 3/16, 17/615 is

LCM of Numerators i.e. for 8,2,3,17 is 408

GCF of denominators i.e. for 14,23,16,615 is 1.

Thus, LCM of Fractions is 408.Finally, LCM of Fractions for 8/14, 2/23, 3/16, 17/615 is 408.