Least Common Multiple of 395/279, 4083/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/279, 4083/361 quickly i.e. 1612785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/279, 4083/361 is 1612785.

LCM(395/279, 4083/361) = 1612785

LCM of 395/279, 4083/361

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 395/279,4083/361

Given numbers are 395/279,4083/361

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 395,4083

Least Common Multiple of Numerators i.e. LCM of 395,4083 is 1612785.

GCF of Denominators means GCF of 279,361 as per the given fractions.

GCF of 279,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,4083

LCM of Fractions 395/279,4083/361 is 1612785

Given numbers has no common factors except 1. So, there LCM is their product i.e 1612785

Least Common Multiple of 395,4083 with GCF Formula

Least Common Multiple of 395,4083 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 395,4083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,4083) = 1

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

GCF(395,4083) x common factors =1 x 1 = 1

LCM(395,4083) = ( 395 × 4083 ) / 1

LCM(395,4083) = 1612785 / 1

LCM(395,4083) = 1612785


Lets's calculate GCF of 279,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1612785/1

Therefore the LCM of Fractions 395/279,4083/361 is 1612785

Greatest Common Factor of 279,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,361 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 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 279,361 . The biggest common factor number is the GCF number.
So the greatest common factor 279,361 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 395/279, 4083/361

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 395/279, 4083/361?

Answer: LCM of Numerators as per given numbers 395/279, 4083/361 is

LCM of Numerators i.e. for 395,4083 is 1612785

GCF of denominators i.e. for 279,361 is 1.

Thus, LCM of Fractions is 1612785.Finally, LCM of Fractions for 395/279, 4083/361 is 1612785.