Least Common Multiple of 814/81, 450/40, 220/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/81, 450/40, 220/264 quickly i.e. 366300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/81, 450/40, 220/264 is 366300.

LCM(814/81, 450/40, 220/264) = 366300

LCM of 814/81, 450/40, 220/264

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 814/81,450/40,220/264

Given numbers are 814/81,450/40,220/264

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 814,450,220

Least Common Multiple of Numerators i.e. LCM of 814,450,220 is 366300.

GCF of Denominators means GCF of 81,40,264 as per the given fractions.

GCF of 81,40,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,450,220

LCM of Fractions 814/81,450/40,220/264 is 366300

2 814, 450, 220
5 407, 225, 110
11 407, 45, 22
37, 45, 2

∴ So the LCM of the given numbers is 2 x 5 x 11 x 37 x 45 x 2 = 366300

Least Common Multiple of 814,450,220 with GCF Formula

Least Common Multiple of 814,450,220 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 814,450,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,450,220) = 2

common factors(in case of two or more numbers have common factors) = 110

GCF(814,450,220) x common factors =2 x 110 = 220

LCM(814,450,220) = ( 814 × 450 × 220 ) / 220

LCM(814,450,220) = 80586000 / 220

LCM(814,450,220) = 366300


Lets's calculate GCF of 81,40,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366300/1

Therefore the LCM of Fractions 814/81,450/40,220/264 is 366300

Greatest Common Factor of 81,40,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,40,264 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 81,40,264 . The biggest common factor number is the GCF number.
So the greatest common factor 81,40,264 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 814/81, 450/40, 220/264

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 814/81, 450/40, 220/264?

Answer: LCM of Numerators as per given numbers 814/81, 450/40, 220/264 is

LCM of Numerators i.e. for 814,450,220 is 366300

GCF of denominators i.e. for 81,40,264 is 1.

Thus, LCM of Fractions is 366300.Finally, LCM of Fractions for 814/81, 450/40, 220/264 is 366300.