Least Common Multiple of 4/40, 3/14, 8/27, 17/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/40, 3/14, 8/27, 17/213 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 4/40, 3/14, 8/27, 17/213 is 408.

LCM(4/40, 3/14, 8/27, 17/213) = 408

LCM of 4/40, 3/14, 8/27, 17/213

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 4/40,3/14,8/27,17/213

Given numbers are 4/40,3/14,8/27,17/213

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 4,3,8,17

Least Common Multiple of Numerators i.e. LCM of 4,3,8,17 is 408.

GCF of Denominators means GCF of 40,14,27,213 as per the given fractions.

GCF of 40,14,27,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,3,8,17

LCM of Fractions 4/40,3/14,8/27,17/213 is 408

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

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

Least Common Multiple of 4,3,8,17 with GCF Formula

Least Common Multiple of 4,3,8,17 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 4,3,8,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,3,8,17) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(4,3,8,17) x common factors =1 x 4 = 4

LCM(4,3,8,17) = ( 4 × 3 × 8 × 17 ) / 4

LCM(4,3,8,17) = 1632 / 4

LCM(4,3,8,17) = 408


Lets's calculate GCF of 40,14,27,213

∴ 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 4/40,3/14,8/27,17/213 is 408

Greatest Common Factor of 40,14,27,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,14,27,213 By Matching Biggest Common Factor Method

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 14

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

1,2,7,14

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 40,14,27,213 . The biggest common factor number is the GCF number.
So the greatest common factor 40,14,27,213 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 4/40, 3/14, 8/27, 17/213

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 4/40, 3/14, 8/27, 17/213?

Answer: LCM of Numerators as per given numbers 4/40, 3/14, 8/27, 17/213 is

LCM of Numerators i.e. for 4,3,8,17 is 408

GCF of denominators i.e. for 40,14,27,213 is 1.

Thus, LCM of Fractions is 408.Finally, LCM of Fractions for 4/40, 3/14, 8/27, 17/213 is 408.