Least Common Multiple of 82/330, 618/53, 686/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/330, 618/53, 686/648 quickly i.e. 8690934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/330, 618/53, 686/648 is 8690934.

LCM(82/330, 618/53, 686/648) = 8690934

LCM of 82/330, 618/53, 686/648

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 82/330,618/53,686/648

Given numbers are 82/330,618/53,686/648

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 82,618,686

Least Common Multiple of Numerators i.e. LCM of 82,618,686 is 8690934.

GCF of Denominators means GCF of 330,53,648 as per the given fractions.

GCF of 330,53,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,618,686

LCM of Fractions 82/330,618/53,686/648 is 8690934

2 82, 618, 686
41, 309, 343

∴ So the LCM of the given numbers is 2 x 41 x 309 x 343 = 8690934

Least Common Multiple of 82,618,686 with GCF Formula

Least Common Multiple of 82,618,686 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 82,618,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,618,686) = 2

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

GCF(82,618,686) x common factors =2 x 2 = 4

LCM(82,618,686) = ( 82 × 618 × 686 ) / 4

LCM(82,618,686) = 34763736 / 4

LCM(82,618,686) = 8690934


Lets's calculate GCF of 330,53,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8690934/1

Therefore the LCM of Fractions 82/330,618/53,686/648 is 8690934

Greatest Common Factor of 330,53,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,53,648 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 330,53,648 . The biggest common factor number is the GCF number.
So the greatest common factor 330,53,648 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 82/330, 618/53, 686/648

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 82/330, 618/53, 686/648?

Answer: LCM of Numerators as per given numbers 82/330, 618/53, 686/648 is

LCM of Numerators i.e. for 82,618,686 is 8690934

GCF of denominators i.e. for 330,53,648 is 1.

Thus, LCM of Fractions is 8690934.Finally, LCM of Fractions for 82/330, 618/53, 686/648 is 8690934.