Least Common Multiple of 81/405, 625/438, 573/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/405, 625/438, 573/555 quickly i.e. 3223125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/405, 625/438, 573/555 is 3223125.

LCM(81/405, 625/438, 573/555) = 3223125

LCM of 81/405, 625/438, 573/555

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 81/405,625/438,573/555

Given numbers are 81/405,625/438,573/555

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 81,625,573

Least Common Multiple of Numerators i.e. LCM of 81,625,573 is 9669375.

GCF of Denominators means GCF of 405,438,555 as per the given fractions.

GCF of 405,438,555 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,625,573

LCM of Fractions 81/405,625/438,573/555 is 3223125

3 81, 625, 573
27, 625, 191

∴ So the LCM of the given numbers is 3 x 27 x 625 x 191 = 9669375

Least Common Multiple of 81,625,573 with GCF Formula

Least Common Multiple of 81,625,573 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 81,625,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,625,573) = 1

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

GCF(81,625,573) x common factors =1 x 3 = 3

LCM(81,625,573) = ( 81 × 625 × 573 ) / 3

LCM(81,625,573) = 29008125 / 3

LCM(81,625,573) = 9669375


Lets's calculate GCF of 405,438,555

3 405, 438, 555
135, 146, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9669375/3

Therefore the LCM of Fractions 81/405,625/438,573/555 is 3223125

Greatest Common Factor of 405,438,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,438,555 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 405,438,555 . The biggest common factor number is the GCF number.
So the greatest common factor 405,438,555 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 81/405, 625/438, 573/555

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 81/405, 625/438, 573/555?

Answer: LCM of Numerators as per given numbers 81/405, 625/438, 573/555 is

LCM of Numerators i.e. for 81,625,573 is 9669375

GCF of denominators i.e. for 405,438,555 is 3.

Thus, LCM of Fractions is 3223125.Finally, LCM of Fractions for 81/405, 625/438, 573/555 is 3223125.