Least Common Multiple of 94/367, 1412/5899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/367, 1412/5899 quickly i.e. 66364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/367, 1412/5899 is 66364.

LCM(94/367, 1412/5899) = 66364

LCM of 94/367, 1412/5899

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 94/367,1412/5899

Given numbers are 94/367,1412/5899

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 94,1412

Least Common Multiple of Numerators i.e. LCM of 94,1412 is 66364.

GCF of Denominators means GCF of 367,5899 as per the given fractions.

GCF of 367,5899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,1412

LCM of Fractions 94/367,1412/5899 is 66364

2 94, 1412
47, 706

∴ So the LCM of the given numbers is 2 x 47 x 706 = 66364

Least Common Multiple of 94,1412 with GCF Formula

Least Common Multiple of 94,1412 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 94,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,1412) = 2

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

GCF(94,1412) x common factors =2 x 1 = 2

LCM(94,1412) = ( 94 × 1412 ) / 2

LCM(94,1412) = 132728 / 2

LCM(94,1412) = 66364


Lets's calculate GCF of 367,5899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66364/1

Therefore the LCM of Fractions 94/367,1412/5899 is 66364

Greatest Common Factor of 367,5899 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,5899 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

Greatest Common Factor

We found the factors 367,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 367,5899 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 94/367, 1412/5899

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 94/367, 1412/5899?

Answer: LCM of Numerators as per given numbers 94/367, 1412/5899 is

LCM of Numerators i.e. for 94,1412 is 66364

GCF of denominators i.e. for 367,5899 is 1.

Thus, LCM of Fractions is 66364.Finally, LCM of Fractions for 94/367, 1412/5899 is 66364.