Least Common Multiple of 82/646, 105/323, 418/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/646, 105/323, 418/220 quickly i.e. 1799490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/646, 105/323, 418/220 is 1799490.

LCM(82/646, 105/323, 418/220) = 1799490

LCM of 82/646, 105/323, 418/220

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 82/646,105/323,418/220

Given numbers are 82/646,105/323,418/220

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 82,105,418

Least Common Multiple of Numerators i.e. LCM of 82,105,418 is 1799490.

GCF of Denominators means GCF of 646,323,220 as per the given fractions.

GCF of 646,323,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,105,418

LCM of Fractions 82/646,105/323,418/220 is 1799490

2 82, 105, 418
41, 105, 209

∴ So the LCM of the given numbers is 2 x 41 x 105 x 209 = 1799490

Least Common Multiple of 82,105,418 with GCF Formula

Least Common Multiple of 82,105,418 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 82,105,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,105,418) = 1

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

GCF(82,105,418) x common factors =1 x 2 = 2

LCM(82,105,418) = ( 82 × 105 × 418 ) / 2

LCM(82,105,418) = 3598980 / 2

LCM(82,105,418) = 1799490


Lets's calculate GCF of 646,323,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1799490/1

Therefore the LCM of Fractions 82/646,105/323,418/220 is 1799490

Greatest Common Factor of 646,323,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,323,220 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 646,323,220 . The biggest common factor number is the GCF number.
So the greatest common factor 646,323,220 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 82/646, 105/323, 418/220

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 82/646, 105/323, 418/220?

Answer: LCM of Numerators as per given numbers 82/646, 105/323, 418/220 is

LCM of Numerators i.e. for 82,105,418 is 1799490

GCF of denominators i.e. for 646,323,220 is 1.

Thus, LCM of Fractions is 1799490.Finally, LCM of Fractions for 82/646, 105/323, 418/220 is 1799490.