Least Common Multiple of 819/62, 538/70, 832/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/62, 538/70, 832/321 quickly i.e. 14099904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/62, 538/70, 832/321 is 14099904.

LCM(819/62, 538/70, 832/321) = 14099904

LCM of 819/62, 538/70, 832/321

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 819/62,538/70,832/321

Given numbers are 819/62,538/70,832/321

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 819,538,832

Least Common Multiple of Numerators i.e. LCM of 819,538,832 is 14099904.

GCF of Denominators means GCF of 62,70,321 as per the given fractions.

GCF of 62,70,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,538,832

LCM of Fractions 819/62,538/70,832/321 is 14099904

2 819, 538, 832
13 819, 269, 416
63, 269, 32

∴ So the LCM of the given numbers is 2 x 13 x 63 x 269 x 32 = 14099904

Least Common Multiple of 819,538,832 with GCF Formula

Least Common Multiple of 819,538,832 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 819,538,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,538,832) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(819,538,832) x common factors =1 x 26 = 26

LCM(819,538,832) = ( 819 × 538 × 832 ) / 26

LCM(819,538,832) = 366597504 / 26

LCM(819,538,832) = 14099904


Lets's calculate GCF of 62,70,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14099904/1

Therefore the LCM of Fractions 819/62,538/70,832/321 is 14099904

Greatest Common Factor of 62,70,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,70,321 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 62,70,321 . The biggest common factor number is the GCF number.
So the greatest common factor 62,70,321 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 819/62, 538/70, 832/321

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 819/62, 538/70, 832/321?

Answer: LCM of Numerators as per given numbers 819/62, 538/70, 832/321 is

LCM of Numerators i.e. for 819,538,832 is 14099904

GCF of denominators i.e. for 62,70,321 is 1.

Thus, LCM of Fractions is 14099904.Finally, LCM of Fractions for 819/62, 538/70, 832/321 is 14099904.