Least Common Multiple of 16/679, 273/410, 419/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/679, 273/410, 419/564 quickly i.e. 1830192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/679, 273/410, 419/564 is 1830192.

LCM(16/679, 273/410, 419/564) = 1830192

LCM of 16/679, 273/410, 419/564

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 16/679,273/410,419/564

Given numbers are 16/679,273/410,419/564

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 16,273,419

Least Common Multiple of Numerators i.e. LCM of 16,273,419 is 1830192.

GCF of Denominators means GCF of 679,410,564 as per the given fractions.

GCF of 679,410,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,273,419

LCM of Fractions 16/679,273/410,419/564 is 1830192

Given numbers has no common factors except 1. So, there LCM is their product i.e 1830192

Least Common Multiple of 16,273,419 with GCF Formula

Least Common Multiple of 16,273,419 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 16,273,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,273,419) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(16,273,419) x common factors =1 x 1 = 1

LCM(16,273,419) = ( 16 × 273 × 419 ) / 1

LCM(16,273,419) = 1830192 / 1

LCM(16,273,419) = 1830192


Lets's calculate GCF of 679,410,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830192/1

Therefore the LCM of Fractions 16/679,273/410,419/564 is 1830192

Greatest Common Factor of 679,410,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,410,564 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 679,410,564 . The biggest common factor number is the GCF number.
So the greatest common factor 679,410,564 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 16/679, 273/410, 419/564

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 16/679, 273/410, 419/564?

Answer: LCM of Numerators as per given numbers 16/679, 273/410, 419/564 is

LCM of Numerators i.e. for 16,273,419 is 1830192

GCF of denominators i.e. for 679,410,564 is 1.

Thus, LCM of Fractions is 1830192.Finally, LCM of Fractions for 16/679, 273/410, 419/564 is 1830192.