Least Common Multiple of 364/18, 436/5897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 364/18, 436/5897 quickly i.e. 39676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/18, 436/5897 is 39676.

LCM(364/18, 436/5897) = 39676

LCM of 364/18, 436/5897

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 364/18,436/5897

Given numbers are 364/18,436/5897

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 364,436

Least Common Multiple of Numerators i.e. LCM of 364,436 is 39676.

GCF of Denominators means GCF of 18,5897 as per the given fractions.

GCF of 18,5897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,436

LCM of Fractions 364/18,436/5897 is 39676

2 364, 436
2 182, 218
91, 109

∴ So the LCM of the given numbers is 2 x 2 x 91 x 109 = 39676

Least Common Multiple of 364,436 with GCF Formula

Least Common Multiple of 364,436 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 364,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,436) = 4

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

GCF(364,436) x common factors =4 x 1 = 4

LCM(364,436) = ( 364 × 436 ) / 4

LCM(364,436) = 158704 / 4

LCM(364,436) = 39676


Lets's calculate GCF of 18,5897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39676/1

Therefore the LCM of Fractions 364/18,436/5897 is 39676

Greatest Common Factor of 18,5897 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,5897 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 5897

List of positive integer factors of 5897 that divides 5897 without a remainder.

1,5897

Greatest Common Factor

We found the factors 18,5897 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5897 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 364/18, 436/5897

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 364/18, 436/5897?

Answer: LCM of Numerators as per given numbers 364/18, 436/5897 is

LCM of Numerators i.e. for 364,436 is 39676

GCF of denominators i.e. for 18,5897 is 1.

Thus, LCM of Fractions is 39676.Finally, LCM of Fractions for 364/18, 436/5897 is 39676.