Least Common Multiple of 40/896, 82/225, 447/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/896, 82/225, 447/810 quickly i.e. 733080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/896, 82/225, 447/810 is 733080.

LCM(40/896, 82/225, 447/810) = 733080

LCM of 40/896, 82/225, 447/810

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 40/896,82/225,447/810

Given numbers are 40/896,82/225,447/810

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 40,82,447

Least Common Multiple of Numerators i.e. LCM of 40,82,447 is 733080.

GCF of Denominators means GCF of 896,225,810 as per the given fractions.

GCF of 896,225,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,82,447

LCM of Fractions 40/896,82/225,447/810 is 733080

2 40, 82, 447
20, 41, 447

∴ So the LCM of the given numbers is 2 x 20 x 41 x 447 = 733080

Least Common Multiple of 40,82,447 with GCF Formula

Least Common Multiple of 40,82,447 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 40,82,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,82,447) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,82,447) x common factors =1 x 2 = 2

LCM(40,82,447) = ( 40 × 82 × 447 ) / 2

LCM(40,82,447) = 1466160 / 2

LCM(40,82,447) = 733080


Lets's calculate GCF of 896,225,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 733080/1

Therefore the LCM of Fractions 40/896,82/225,447/810 is 733080

Greatest Common Factor of 896,225,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,225,810 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

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 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 896,225,810 . The biggest common factor number is the GCF number.
So the greatest common factor 896,225,810 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 40/896, 82/225, 447/810

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 40/896, 82/225, 447/810?

Answer: LCM of Numerators as per given numbers 40/896, 82/225, 447/810 is

LCM of Numerators i.e. for 40,82,447 is 733080

GCF of denominators i.e. for 896,225,810 is 1.

Thus, LCM of Fractions is 733080.Finally, LCM of Fractions for 40/896, 82/225, 447/810 is 733080.