Least Common Multiple of 41/33, 80/51, 72/89, 30/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/33, 80/51, 72/89, 30/704 quickly i.e. 29520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/33, 80/51, 72/89, 30/704 is 29520.

LCM(41/33, 80/51, 72/89, 30/704) = 29520

LCM of 41/33, 80/51, 72/89, 30/704

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 41/33,80/51,72/89,30/704

Given numbers are 41/33,80/51,72/89,30/704

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 41,80,72,30

Least Common Multiple of Numerators i.e. LCM of 41,80,72,30 is 29520.

GCF of Denominators means GCF of 33,51,89,704 as per the given fractions.

GCF of 33,51,89,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,80,72,30

LCM of Fractions 41/33,80/51,72/89,30/704 is 29520

2 41, 80, 72, 30
2 41, 40, 36, 15
2 41, 20, 18, 15
3 41, 10, 9, 15
5 41, 10, 3, 5
41, 2, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 41 x 2 x 3 x 1 = 29520

Least Common Multiple of 41,80,72,30 with GCF Formula

Least Common Multiple of 41,80,72,30 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 41,80,72,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,80,72,30) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(41,80,72,30) x common factors =1 x 240 = 240

LCM(41,80,72,30) = ( 41 × 80 × 72 × 30 ) / 240

LCM(41,80,72,30) = 7084800 / 240

LCM(41,80,72,30) = 29520


Lets's calculate GCF of 33,51,89,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29520/1

Therefore the LCM of Fractions 41/33,80/51,72/89,30/704 is 29520

Greatest Common Factor of 33,51,89,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,51,89,704 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 33,51,89,704 . The biggest common factor number is the GCF number.
So the greatest common factor 33,51,89,704 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 41/33, 80/51, 72/89, 30/704

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 41/33, 80/51, 72/89, 30/704?

Answer: LCM of Numerators as per given numbers 41/33, 80/51, 72/89, 30/704 is

LCM of Numerators i.e. for 41,80,72,30 is 29520

GCF of denominators i.e. for 33,51,89,704 is 1.

Thus, LCM of Fractions is 29520.Finally, LCM of Fractions for 41/33, 80/51, 72/89, 30/704 is 29520.