Least Common Multiple of 72/34, 38/69, 27/12, 30/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/34, 38/69, 27/12, 30/647 quickly i.e. 20520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/34, 38/69, 27/12, 30/647 is 20520.

LCM(72/34, 38/69, 27/12, 30/647) = 20520

LCM of 72/34, 38/69, 27/12, 30/647

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 72/34,38/69,27/12,30/647

Given numbers are 72/34,38/69,27/12,30/647

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 72,38,27,30

Least Common Multiple of Numerators i.e. LCM of 72,38,27,30 is 20520.

GCF of Denominators means GCF of 34,69,12,647 as per the given fractions.

GCF of 34,69,12,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,38,27,30

LCM of Fractions 72/34,38/69,27/12,30/647 is 20520

2 72, 38, 27, 30
3 36, 19, 27, 15
3 12, 19, 9, 5
4, 19, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 19 x 3 x 5 = 20520

Least Common Multiple of 72,38,27,30 with GCF Formula

Least Common Multiple of 72,38,27,30 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 72,38,27,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,38,27,30) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(72,38,27,30) x common factors =1 x 108 = 108

LCM(72,38,27,30) = ( 72 × 38 × 27 × 30 ) / 108

LCM(72,38,27,30) = 2216160 / 108

LCM(72,38,27,30) = 20520


Lets's calculate GCF of 34,69,12,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20520/1

Therefore the LCM of Fractions 72/34,38/69,27/12,30/647 is 20520

Greatest Common Factor of 34,69,12,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,69,12,647 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 34,69,12,647 . The biggest common factor number is the GCF number.
So the greatest common factor 34,69,12,647 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 72/34, 38/69, 27/12, 30/647

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 72/34, 38/69, 27/12, 30/647?

Answer: LCM of Numerators as per given numbers 72/34, 38/69, 27/12, 30/647 is

LCM of Numerators i.e. for 72,38,27,30 is 20520

GCF of denominators i.e. for 34,69,12,647 is 1.

Thus, LCM of Fractions is 20520.Finally, LCM of Fractions for 72/34, 38/69, 27/12, 30/647 is 20520.