Least Common Multiple of 775/15, 384/12, 858/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 775/15, 384/12, 858/447 quickly i.e. 14185600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 775/15, 384/12, 858/447 is 14185600.

LCM(775/15, 384/12, 858/447) = 14185600

LCM of 775/15, 384/12, 858/447

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 775/15,384/12,858/447

Given numbers are 775/15,384/12,858/447

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 775,384,858

Least Common Multiple of Numerators i.e. LCM of 775,384,858 is 42556800.

GCF of Denominators means GCF of 15,12,447 as per the given fractions.

GCF of 15,12,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 775,384,858

LCM of Fractions 775/15,384/12,858/447 is 14185600

2 775, 384, 858
3 775, 192, 429
775, 64, 143

∴ So the LCM of the given numbers is 2 x 3 x 775 x 64 x 143 = 42556800

Least Common Multiple of 775,384,858 with GCF Formula

Least Common Multiple of 775,384,858 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 775,384,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,384,858) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(775,384,858) x common factors =1 x 6 = 6

LCM(775,384,858) = ( 775 × 384 × 858 ) / 6

LCM(775,384,858) = 255340800 / 6

LCM(775,384,858) = 42556800


Lets's calculate GCF of 15,12,447

3 15, 12, 447
5, 4, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42556800/3

Therefore the LCM of Fractions 775/15,384/12,858/447 is 14185600

Greatest Common Factor of 15,12,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,12,447 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 15,12,447 . The biggest common factor number is the GCF number.
So the greatest common factor 15,12,447 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 775/15, 384/12, 858/447

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 775/15, 384/12, 858/447?

Answer: LCM of Numerators as per given numbers 775/15, 384/12, 858/447 is

LCM of Numerators i.e. for 775,384,858 is 42556800

GCF of denominators i.e. for 15,12,447 is 3.

Thus, LCM of Fractions is 14185600.Finally, LCM of Fractions for 775/15, 384/12, 858/447 is 14185600.