Least Common Multiple of 15/873, 51/302, 543/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/873, 51/302, 543/447 quickly i.e. 46155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/873, 51/302, 543/447 is 46155.

LCM(15/873, 51/302, 543/447) = 46155

LCM of 15/873, 51/302, 543/447

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 15/873,51/302,543/447

Given numbers are 15/873,51/302,543/447

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 15,51,543

Least Common Multiple of Numerators i.e. LCM of 15,51,543 is 46155.

GCF of Denominators means GCF of 873,302,447 as per the given fractions.

GCF of 873,302,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,51,543

LCM of Fractions 15/873,51/302,543/447 is 46155

3 15, 51, 543
5, 17, 181

∴ So the LCM of the given numbers is 3 x 5 x 17 x 181 = 46155

Least Common Multiple of 15,51,543 with GCF Formula

Least Common Multiple of 15,51,543 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 15,51,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,51,543) = 3

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

GCF(15,51,543) x common factors =3 x 3 = 9

LCM(15,51,543) = ( 15 × 51 × 543 ) / 9

LCM(15,51,543) = 415395 / 9

LCM(15,51,543) = 46155


Lets's calculate GCF of 873,302,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46155/1

Therefore the LCM of Fractions 15/873,51/302,543/447 is 46155

Greatest Common Factor of 873,302,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,302,447 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

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 873,302,447 . The biggest common factor number is the GCF number.
So the greatest common factor 873,302,447 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 15/873, 51/302, 543/447

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 15/873, 51/302, 543/447?

Answer: LCM of Numerators as per given numbers 15/873, 51/302, 543/447 is

LCM of Numerators i.e. for 15,51,543 is 46155

GCF of denominators i.e. for 873,302,447 is 1.

Thus, LCM of Fractions is 46155.Finally, LCM of Fractions for 15/873, 51/302, 543/447 is 46155.