Least Common Multiple of 82/810, 7071/2265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/810, 7071/2265 quickly i.e. 579822/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/810, 7071/2265 is 579822/15.

LCM(82/810, 7071/2265) = 579822/15

LCM of 82/810, 7071/2265

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 82/810,7071/2265

Given numbers are 82/810,7071/2265

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 82,7071

Least Common Multiple of Numerators i.e. LCM of 82,7071 is 579822.

GCF of Denominators means GCF of 810,2265 as per the given fractions.

GCF of 810,2265 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,7071

LCM of Fractions 82/810,7071/2265 is 579822/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 579822

Least Common Multiple of 82,7071 with GCF Formula

Least Common Multiple of 82,7071 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 82,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,7071) = 1

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

GCF(82,7071) x common factors =1 x 1 = 1

LCM(82,7071) = ( 82 × 7071 ) / 1

LCM(82,7071) = 579822 / 1

LCM(82,7071) = 579822


Lets's calculate GCF of 810,2265

3 810, 2265
5 270, 755
54, 151

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579822/15

Therefore the LCM of Fractions 82/810,7071/2265 is 579822/15

Greatest Common Factor of 810,2265 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,2265 By Matching Biggest Common Factor Method

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

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Greatest Common Factor

We found the factors 810,2265 . The biggest common factor number is the GCF number.
So the greatest common factor 810,2265 is 15.


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 82/810, 7071/2265

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 82/810, 7071/2265?

Answer: LCM of Numerators as per given numbers 82/810, 7071/2265 is

LCM of Numerators i.e. for 82,7071 is 579822

GCF of denominators i.e. for 810,2265 is 15.

Thus, LCM of Fractions is 579822/15.Finally, LCM of Fractions for 82/810, 7071/2265 is 579822/15.