Least Common Multiple of 75/780, 33/915, 399/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/780, 33/915, 399/900 quickly i.e. 7315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/780, 33/915, 399/900 is 7315.

LCM(75/780, 33/915, 399/900) = 7315

LCM of 75/780, 33/915, 399/900

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 75/780,33/915,399/900

Given numbers are 75/780,33/915,399/900

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 75,33,399

Least Common Multiple of Numerators i.e. LCM of 75,33,399 is 109725.

GCF of Denominators means GCF of 780,915,900 as per the given fractions.

GCF of 780,915,900 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,33,399

LCM of Fractions 75/780,33/915,399/900 is 7315

3 75, 33, 399
25, 11, 133

∴ So the LCM of the given numbers is 3 x 25 x 11 x 133 = 109725

Least Common Multiple of 75,33,399 with GCF Formula

Least Common Multiple of 75,33,399 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 75,33,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,33,399) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(75,33,399) x common factors =3 x 3 = 9

LCM(75,33,399) = ( 75 × 33 × 399 ) / 9

LCM(75,33,399) = 987525 / 9

LCM(75,33,399) = 109725


Lets's calculate GCF of 780,915,900

3 780, 915, 900
5 260, 305, 300
52, 61, 60

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109725/15

Therefore the LCM of Fractions 75/780,33/915,399/900 is 7315

Greatest Common Factor of 780,915,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,915,900 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 780,915,900 . The biggest common factor number is the GCF number.
So the greatest common factor 780,915,900 is 15.


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 75/780, 33/915, 399/900

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 75/780, 33/915, 399/900?

Answer: LCM of Numerators as per given numbers 75/780, 33/915, 399/900 is

LCM of Numerators i.e. for 75,33,399 is 109725

GCF of denominators i.e. for 780,915,900 is 15.

Thus, LCM of Fractions is 7315.Finally, LCM of Fractions for 75/780, 33/915, 399/900 is 7315.