Least Common Multiple of 5/34, 8/16, 15/72, 40/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/34, 8/16, 15/72, 40/326 quickly i.e. 60 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/34, 8/16, 15/72, 40/326 is 60.

LCM(5/34, 8/16, 15/72, 40/326) = 60

LCM of 5/34, 8/16, 15/72, 40/326

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 5/34,8/16,15/72,40/326

Given numbers are 5/34,8/16,15/72,40/326

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 5,8,15,40

Least Common Multiple of Numerators i.e. LCM of 5,8,15,40 is 120.

GCF of Denominators means GCF of 34,16,72,326 as per the given fractions.

GCF of 34,16,72,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,8,15,40

LCM of Fractions 5/34,8/16,15/72,40/326 is 60

2 5, 8, 15, 40
2 5, 4, 15, 20
2 5, 2, 15, 10
5 5, 1, 15, 5
1, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 3 x 1 = 120

Least Common Multiple of 5,8,15,40 with GCF Formula

Least Common Multiple of 5,8,15,40 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 5,8,15,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,8,15,40) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(5,8,15,40) x common factors =1 x 200 = 200

LCM(5,8,15,40) = ( 5 × 8 × 15 × 40 ) / 200

LCM(5,8,15,40) = 24000 / 200

LCM(5,8,15,40) = 120


Lets's calculate GCF of 34,16,72,326

2 34, 16, 72, 326
17, 8, 36, 163

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120/2

Therefore the LCM of Fractions 5/34,8/16,15/72,40/326 is 60

Greatest Common Factor of 34,16,72,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,16,72,326 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 16

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

1,2,4,8,16

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 34,16,72,326 . The biggest common factor number is the GCF number.
So the greatest common factor 34,16,72,326 is 2.


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 5/34, 8/16, 15/72, 40/326

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 5/34, 8/16, 15/72, 40/326?

Answer: LCM of Numerators as per given numbers 5/34, 8/16, 15/72, 40/326 is

LCM of Numerators i.e. for 5,8,15,40 is 120

GCF of denominators i.e. for 34,16,72,326 is 2.

Thus, LCM of Fractions is 60.Finally, LCM of Fractions for 5/34, 8/16, 15/72, 40/326 is 60.