Least Common Multiple of 73/279, 94/213, 812/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/279, 94/213, 812/319 quickly i.e. 2785972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/279, 94/213, 812/319 is 2785972.

LCM(73/279, 94/213, 812/319) = 2785972

LCM of 73/279, 94/213, 812/319

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 73/279,94/213,812/319

Given numbers are 73/279,94/213,812/319

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 73,94,812

Least Common Multiple of Numerators i.e. LCM of 73,94,812 is 2785972.

GCF of Denominators means GCF of 279,213,319 as per the given fractions.

GCF of 279,213,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,94,812

LCM of Fractions 73/279,94/213,812/319 is 2785972

2 73, 94, 812
73, 47, 406

∴ So the LCM of the given numbers is 2 x 73 x 47 x 406 = 2785972

Least Common Multiple of 73,94,812 with GCF Formula

Least Common Multiple of 73,94,812 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 73,94,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,94,812) = 1

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

GCF(73,94,812) x common factors =1 x 2 = 2

LCM(73,94,812) = ( 73 × 94 × 812 ) / 2

LCM(73,94,812) = 5571944 / 2

LCM(73,94,812) = 2785972


Lets's calculate GCF of 279,213,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2785972/1

Therefore the LCM of Fractions 73/279,94/213,812/319 is 2785972

Greatest Common Factor of 279,213,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,213,319 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 279,213,319 . The biggest common factor number is the GCF number.
So the greatest common factor 279,213,319 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 73/279, 94/213, 812/319

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 73/279, 94/213, 812/319?

Answer: LCM of Numerators as per given numbers 73/279, 94/213, 812/319 is

LCM of Numerators i.e. for 73,94,812 is 2785972

GCF of denominators i.e. for 279,213,319 is 1.

Thus, LCM of Fractions is 2785972.Finally, LCM of Fractions for 73/279, 94/213, 812/319 is 2785972.