Least Common Multiple of 72/36, 41/69, 574/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/36, 41/69, 574/825 quickly i.e. 6888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/36, 41/69, 574/825 is 6888.

LCM(72/36, 41/69, 574/825) = 6888

LCM of 72/36, 41/69, 574/825

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 72/36,41/69,574/825

Given numbers are 72/36,41/69,574/825

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 72,41,574

Least Common Multiple of Numerators i.e. LCM of 72,41,574 is 20664.

GCF of Denominators means GCF of 36,69,825 as per the given fractions.

GCF of 36,69,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,41,574

LCM of Fractions 72/36,41/69,574/825 is 6888

2 72, 41, 574
41 36, 41, 287
36, 1, 7

∴ So the LCM of the given numbers is 2 x 41 x 36 x 1 x 7 = 20664

Least Common Multiple of 72,41,574 with GCF Formula

Least Common Multiple of 72,41,574 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 72,41,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,41,574) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(72,41,574) x common factors =1 x 82 = 82

LCM(72,41,574) = ( 72 × 41 × 574 ) / 82

LCM(72,41,574) = 1694448 / 82

LCM(72,41,574) = 20664


Lets's calculate GCF of 36,69,825

3 36, 69, 825
12, 23, 275

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20664/3

Therefore the LCM of Fractions 72/36,41/69,574/825 is 6888

Greatest Common Factor of 36,69,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,69,825 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 69

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

1,3,23,69

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 36,69,825 . The biggest common factor number is the GCF number.
So the greatest common factor 36,69,825 is 3.


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 72/36, 41/69, 574/825

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 72/36, 41/69, 574/825?

Answer: LCM of Numerators as per given numbers 72/36, 41/69, 574/825 is

LCM of Numerators i.e. for 72,41,574 is 20664

GCF of denominators i.e. for 36,69,825 is 3.

Thus, LCM of Fractions is 6888.Finally, LCM of Fractions for 72/36, 41/69, 574/825 is 6888.