Least Common Multiple of 83/615, 21/607, 819/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/615, 21/607, 819/512 quickly i.e. 67977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/615, 21/607, 819/512 is 67977.

LCM(83/615, 21/607, 819/512) = 67977

LCM of 83/615, 21/607, 819/512

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 83/615,21/607,819/512

Given numbers are 83/615,21/607,819/512

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 83,21,819

Least Common Multiple of Numerators i.e. LCM of 83,21,819 is 67977.

GCF of Denominators means GCF of 615,607,512 as per the given fractions.

GCF of 615,607,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,21,819

LCM of Fractions 83/615,21/607,819/512 is 67977

3 83, 21, 819
7 83, 7, 273
83, 1, 39

∴ So the LCM of the given numbers is 3 x 7 x 83 x 1 x 39 = 67977

Least Common Multiple of 83,21,819 with GCF Formula

Least Common Multiple of 83,21,819 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 83,21,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,21,819) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(83,21,819) x common factors =1 x 21 = 21

LCM(83,21,819) = ( 83 × 21 × 819 ) / 21

LCM(83,21,819) = 1427517 / 21

LCM(83,21,819) = 67977


Lets's calculate GCF of 615,607,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67977/1

Therefore the LCM of Fractions 83/615,21/607,819/512 is 67977

Greatest Common Factor of 615,607,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,607,512 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 615,607,512 . The biggest common factor number is the GCF number.
So the greatest common factor 615,607,512 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 83/615, 21/607, 819/512

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 83/615, 21/607, 819/512?

Answer: LCM of Numerators as per given numbers 83/615, 21/607, 819/512 is

LCM of Numerators i.e. for 83,21,819 is 67977

GCF of denominators i.e. for 615,607,512 is 1.

Thus, LCM of Fractions is 67977.Finally, LCM of Fractions for 83/615, 21/607, 819/512 is 67977.