Least Common Multiple of 30/72, 44/41, 65/39, 88/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/72, 44/41, 65/39, 88/473 quickly i.e. 17160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/72, 44/41, 65/39, 88/473 is 17160.

LCM(30/72, 44/41, 65/39, 88/473) = 17160

LCM of 30/72, 44/41, 65/39, 88/473

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 30/72,44/41,65/39,88/473

Given numbers are 30/72,44/41,65/39,88/473

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 30,44,65,88

Least Common Multiple of Numerators i.e. LCM of 30,44,65,88 is 17160.

GCF of Denominators means GCF of 72,41,39,473 as per the given fractions.

GCF of 72,41,39,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,44,65,88

LCM of Fractions 30/72,44/41,65/39,88/473 is 17160

2 30, 44, 65, 88
2 15, 22, 65, 44
5 15, 11, 65, 22
11 3, 11, 13, 22
3, 1, 13, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 3 x 1 x 13 x 2 = 17160

Least Common Multiple of 30,44,65,88 with GCF Formula

Least Common Multiple of 30,44,65,88 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 30,44,65,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,44,65,88) = 1

common factors(in case of two or more numbers have common factors) = 440

GCF(30,44,65,88) x common factors =1 x 440 = 440

LCM(30,44,65,88) = ( 30 × 44 × 65 × 88 ) / 440

LCM(30,44,65,88) = 7550400 / 440

LCM(30,44,65,88) = 17160


Lets's calculate GCF of 72,41,39,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17160/1

Therefore the LCM of Fractions 30/72,44/41,65/39,88/473 is 17160

Greatest Common Factor of 72,41,39,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,41,39,473 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 72,41,39,473 . The biggest common factor number is the GCF number.
So the greatest common factor 72,41,39,473 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 30/72, 44/41, 65/39, 88/473

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 30/72, 44/41, 65/39, 88/473?

Answer: LCM of Numerators as per given numbers 30/72, 44/41, 65/39, 88/473 is

LCM of Numerators i.e. for 30,44,65,88 is 17160

GCF of denominators i.e. for 72,41,39,473 is 1.

Thus, LCM of Fractions is 17160.Finally, LCM of Fractions for 30/72, 44/41, 65/39, 88/473 is 17160.