Least Common Multiple of 82/513, 83/421, 648/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/513, 83/421, 648/781 quickly i.e. 2205144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/513, 83/421, 648/781 is 2205144.

LCM(82/513, 83/421, 648/781) = 2205144

LCM of 82/513, 83/421, 648/781

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 82/513,83/421,648/781

Given numbers are 82/513,83/421,648/781

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 82,83,648

Least Common Multiple of Numerators i.e. LCM of 82,83,648 is 2205144.

GCF of Denominators means GCF of 513,421,781 as per the given fractions.

GCF of 513,421,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,83,648

LCM of Fractions 82/513,83/421,648/781 is 2205144

2 82, 83, 648
41, 83, 324

∴ So the LCM of the given numbers is 2 x 41 x 83 x 324 = 2205144

Least Common Multiple of 82,83,648 with GCF Formula

Least Common Multiple of 82,83,648 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 82,83,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,83,648) = 1

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

GCF(82,83,648) x common factors =1 x 2 = 2

LCM(82,83,648) = ( 82 × 83 × 648 ) / 2

LCM(82,83,648) = 4410288 / 2

LCM(82,83,648) = 2205144


Lets's calculate GCF of 513,421,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2205144/1

Therefore the LCM of Fractions 82/513,83/421,648/781 is 2205144

Greatest Common Factor of 513,421,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,421,781 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 513,421,781 . The biggest common factor number is the GCF number.
So the greatest common factor 513,421,781 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 82/513, 83/421, 648/781

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 82/513, 83/421, 648/781?

Answer: LCM of Numerators as per given numbers 82/513, 83/421, 648/781 is

LCM of Numerators i.e. for 82,83,648 is 2205144

GCF of denominators i.e. for 513,421,781 is 1.

Thus, LCM of Fractions is 2205144.Finally, LCM of Fractions for 82/513, 83/421, 648/781 is 2205144.