Least Common Multiple of 27/835, 75/896, 540/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/835, 75/896, 540/912 quickly i.e. 2700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/835, 75/896, 540/912 is 2700.

LCM(27/835, 75/896, 540/912) = 2700

LCM of 27/835, 75/896, 540/912

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 27/835,75/896,540/912

Given numbers are 27/835,75/896,540/912

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 27,75,540

Least Common Multiple of Numerators i.e. LCM of 27,75,540 is 2700.

GCF of Denominators means GCF of 835,896,912 as per the given fractions.

GCF of 835,896,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,75,540

LCM of Fractions 27/835,75/896,540/912 is 2700

3 27, 75, 540
3 9, 25, 180
3 3, 25, 60
5 1, 25, 20
1, 5, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 1 x 5 x 4 = 2700

Least Common Multiple of 27,75,540 with GCF Formula

Least Common Multiple of 27,75,540 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 27,75,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,75,540) = 3

common factors(in case of two or more numbers have common factors) = 135

GCF(27,75,540) x common factors =3 x 135 = 405

LCM(27,75,540) = ( 27 × 75 × 540 ) / 405

LCM(27,75,540) = 1093500 / 405

LCM(27,75,540) = 2700


Lets's calculate GCF of 835,896,912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2700/1

Therefore the LCM of Fractions 27/835,75/896,540/912 is 2700

Greatest Common Factor of 835,896,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,896,912 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 835,896,912 . The biggest common factor number is the GCF number.
So the greatest common factor 835,896,912 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 27/835, 75/896, 540/912

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 27/835, 75/896, 540/912?

Answer: LCM of Numerators as per given numbers 27/835, 75/896, 540/912 is

LCM of Numerators i.e. for 27,75,540 is 2700

GCF of denominators i.e. for 835,896,912 is 1.

Thus, LCM of Fractions is 2700.Finally, LCM of Fractions for 27/835, 75/896, 540/912 is 2700.