Least Common Multiple of 15/421, 432/321, 227/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/421, 432/321, 227/575 quickly i.e. 490320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/421, 432/321, 227/575 is 490320.

LCM(15/421, 432/321, 227/575) = 490320

LCM of 15/421, 432/321, 227/575

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 15/421,432/321,227/575

Given numbers are 15/421,432/321,227/575

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 15,432,227

Least Common Multiple of Numerators i.e. LCM of 15,432,227 is 490320.

GCF of Denominators means GCF of 421,321,575 as per the given fractions.

GCF of 421,321,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,432,227

LCM of Fractions 15/421,432/321,227/575 is 490320

3 15, 432, 227
5, 144, 227

∴ So the LCM of the given numbers is 3 x 5 x 144 x 227 = 490320

Least Common Multiple of 15,432,227 with GCF Formula

Least Common Multiple of 15,432,227 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 15,432,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,432,227) = 1

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

GCF(15,432,227) x common factors =1 x 3 = 3

LCM(15,432,227) = ( 15 × 432 × 227 ) / 3

LCM(15,432,227) = 1470960 / 3

LCM(15,432,227) = 490320


Lets's calculate GCF of 421,321,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490320/1

Therefore the LCM of Fractions 15/421,432/321,227/575 is 490320

Greatest Common Factor of 421,321,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,321,575 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 421,321,575 . The biggest common factor number is the GCF number.
So the greatest common factor 421,321,575 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 15/421, 432/321, 227/575

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 15/421, 432/321, 227/575?

Answer: LCM of Numerators as per given numbers 15/421, 432/321, 227/575 is

LCM of Numerators i.e. for 15,432,227 is 490320

GCF of denominators i.e. for 421,321,575 is 1.

Thus, LCM of Fractions is 490320.Finally, LCM of Fractions for 15/421, 432/321, 227/575 is 490320.