Least Common Multiple of 8/20, 8/63, 18/75, 14/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/20, 8/63, 18/75, 14/306 quickly i.e. 504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/20, 8/63, 18/75, 14/306 is 504.

LCM(8/20, 8/63, 18/75, 14/306) = 504

LCM of 8/20, 8/63, 18/75, 14/306

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 8/20,8/63,18/75,14/306

Given numbers are 8/20,8/63,18/75,14/306

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 8,8,18,14

Least Common Multiple of Numerators i.e. LCM of 8,8,18,14 is 504.

GCF of Denominators means GCF of 20,63,75,306 as per the given fractions.

GCF of 20,63,75,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,8,18,14

LCM of Fractions 8/20,8/63,18/75,14/306 is 504

2 8, 8, 18, 14
2 4, 4, 9, 7
2 2, 2, 9, 7
1, 1, 9, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 9 x 7 = 504

Least Common Multiple of 8,8,18,14 with GCF Formula

Least Common Multiple of 8,8,18,14 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 8,8,18,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,8,18,14) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(8,8,18,14) x common factors =2 x 16 = 32

LCM(8,8,18,14) = ( 8 × 8 × 18 × 14 ) / 32

LCM(8,8,18,14) = 16128 / 32

LCM(8,8,18,14) = 504


Lets's calculate GCF of 20,63,75,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504/1

Therefore the LCM of Fractions 8/20,8/63,18/75,14/306 is 504

Greatest Common Factor of 20,63,75,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,63,75,306 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 75

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

1,3,5,15,25,75

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 20,63,75,306 . The biggest common factor number is the GCF number.
So the greatest common factor 20,63,75,306 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 8/20, 8/63, 18/75, 14/306

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 8/20, 8/63, 18/75, 14/306?

Answer: LCM of Numerators as per given numbers 8/20, 8/63, 18/75, 14/306 is

LCM of Numerators i.e. for 8,8,18,14 is 504

GCF of denominators i.e. for 20,63,75,306 is 1.

Thus, LCM of Fractions is 504.Finally, LCM of Fractions for 8/20, 8/63, 18/75, 14/306 is 504.