Least Common Multiple of 82/266, 449/861, 446/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/266, 449/861, 446/670 quickly i.e. 8210414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/266, 449/861, 446/670 is 8210414.

LCM(82/266, 449/861, 446/670) = 8210414

LCM of 82/266, 449/861, 446/670

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 82/266,449/861,446/670

Given numbers are 82/266,449/861,446/670

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 82,449,446

Least Common Multiple of Numerators i.e. LCM of 82,449,446 is 8210414.

GCF of Denominators means GCF of 266,861,670 as per the given fractions.

GCF of 266,861,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,449,446

LCM of Fractions 82/266,449/861,446/670 is 8210414

2 82, 449, 446
41, 449, 223

∴ So the LCM of the given numbers is 2 x 41 x 449 x 223 = 8210414

Least Common Multiple of 82,449,446 with GCF Formula

Least Common Multiple of 82,449,446 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 82,449,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,449,446) = 1

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

GCF(82,449,446) x common factors =1 x 2 = 2

LCM(82,449,446) = ( 82 × 449 × 446 ) / 2

LCM(82,449,446) = 16420828 / 2

LCM(82,449,446) = 8210414


Lets's calculate GCF of 266,861,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8210414/1

Therefore the LCM of Fractions 82/266,449/861,446/670 is 8210414

Greatest Common Factor of 266,861,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,861,670 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 266,861,670 . The biggest common factor number is the GCF number.
So the greatest common factor 266,861,670 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/266, 449/861, 446/670

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 82/266, 449/861, 446/670?

Answer: LCM of Numerators as per given numbers 82/266, 449/861, 446/670 is

LCM of Numerators i.e. for 82,449,446 is 8210414

GCF of denominators i.e. for 266,861,670 is 1.

Thus, LCM of Fractions is 8210414.Finally, LCM of Fractions for 82/266, 449/861, 446/670 is 8210414.