Least Common Multiple of 34/72, 16/34, 80/15, 72/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/72, 16/34, 80/15, 72/414 quickly i.e. 12240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/72, 16/34, 80/15, 72/414 is 12240.

LCM(34/72, 16/34, 80/15, 72/414) = 12240

LCM of 34/72, 16/34, 80/15, 72/414

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 34/72,16/34,80/15,72/414

Given numbers are 34/72,16/34,80/15,72/414

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 34,16,80,72

Least Common Multiple of Numerators i.e. LCM of 34,16,80,72 is 12240.

GCF of Denominators means GCF of 72,34,15,414 as per the given fractions.

GCF of 72,34,15,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,16,80,72

LCM of Fractions 34/72,16/34,80/15,72/414 is 12240

2 34, 16, 80, 72
2 17, 8, 40, 36
2 17, 4, 20, 18
2 17, 2, 10, 9
17, 1, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 1 x 5 x 9 = 12240

Least Common Multiple of 34,16,80,72 with GCF Formula

Least Common Multiple of 34,16,80,72 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 34,16,80,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,16,80,72) = 2

common factors(in case of two or more numbers have common factors) = 128

GCF(34,16,80,72) x common factors =2 x 128 = 256

LCM(34,16,80,72) = ( 34 × 16 × 80 × 72 ) / 256

LCM(34,16,80,72) = 3133440 / 256

LCM(34,16,80,72) = 12240


Lets's calculate GCF of 72,34,15,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12240/1

Therefore the LCM of Fractions 34/72,16/34,80/15,72/414 is 12240

Greatest Common Factor of 72,34,15,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,34,15,414 By Matching Biggest Common Factor Method

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 34

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

1,2,17,34

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 72,34,15,414 . The biggest common factor number is the GCF number.
So the greatest common factor 72,34,15,414 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 34/72, 16/34, 80/15, 72/414

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 34/72, 16/34, 80/15, 72/414?

Answer: LCM of Numerators as per given numbers 34/72, 16/34, 80/15, 72/414 is

LCM of Numerators i.e. for 34,16,80,72 is 12240

GCF of denominators i.e. for 72,34,15,414 is 1.

Thus, LCM of Fractions is 12240.Finally, LCM of Fractions for 34/72, 16/34, 80/15, 72/414 is 12240.