Least Common Multiple of 270/855, 924/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/855, 924/453 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/855, 924/453 is 13860.

LCM(270/855, 924/453) = 13860

LCM of 270/855, 924/453

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 270/855,924/453

Given numbers are 270/855,924/453

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 270,924

Least Common Multiple of Numerators i.e. LCM of 270,924 is 41580.

GCF of Denominators means GCF of 855,453 as per the given fractions.

GCF of 855,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,924

LCM of Fractions 270/855,924/453 is 13860

2 270, 924
3 135, 462
45, 154

∴ So the LCM of the given numbers is 2 x 3 x 45 x 154 = 41580

Least Common Multiple of 270,924 with GCF Formula

Least Common Multiple of 270,924 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 270,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,924) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(270,924) x common factors =6 x 1 = 6

LCM(270,924) = ( 270 × 924 ) / 6

LCM(270,924) = 249480 / 6

LCM(270,924) = 41580


Lets's calculate GCF of 855,453

3 855, 453
285, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41580/3

Therefore the LCM of Fractions 270/855,924/453 is 13860

Greatest Common Factor of 855,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,453 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 855,453 . The biggest common factor number is the GCF number.
So the greatest common factor 855,453 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 270/855, 924/453

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 270/855, 924/453?

Answer: LCM of Numerators as per given numbers 270/855, 924/453 is

LCM of Numerators i.e. for 270,924 is 41580

GCF of denominators i.e. for 855,453 is 3.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 270/855, 924/453 is 13860.