Least Common Multiple of 410/225, 460/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/225, 460/489 quickly i.e. 18860/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/225, 460/489 is 18860/3.

LCM(410/225, 460/489) = 18860/3

LCM of 410/225, 460/489

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 410/225,460/489

Given numbers are 410/225,460/489

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 410,460

Least Common Multiple of Numerators i.e. LCM of 410,460 is 18860.

GCF of Denominators means GCF of 225,489 as per the given fractions.

GCF of 225,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,460

LCM of Fractions 410/225,460/489 is 18860/3

2 410, 460
5 205, 230
41, 46

∴ So the LCM of the given numbers is 2 x 5 x 41 x 46 = 18860

Least Common Multiple of 410,460 with GCF Formula

Least Common Multiple of 410,460 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 410,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,460) = 10

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

GCF(410,460) x common factors =10 x 1 = 10

LCM(410,460) = ( 410 × 460 ) / 10

LCM(410,460) = 188600 / 10

LCM(410,460) = 18860


Lets's calculate GCF of 225,489

3 225, 489
75, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18860/3

Therefore the LCM of Fractions 410/225,460/489 is 18860/3

Greatest Common Factor of 225,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,489 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 225,489 . The biggest common factor number is the GCF number.
So the greatest common factor 225,489 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 410/225, 460/489

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 410/225, 460/489?

Answer: LCM of Numerators as per given numbers 410/225, 460/489 is

LCM of Numerators i.e. for 410,460 is 18860

GCF of denominators i.e. for 225,489 is 3.

Thus, LCM of Fractions is 18860/3.Finally, LCM of Fractions for 410/225, 460/489 is 18860/3.