Least Common Multiple of 43/318, 9517/1899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/318, 9517/1899 quickly i.e. 409231/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/318, 9517/1899 is 409231/3.

LCM(43/318, 9517/1899) = 409231/3

LCM of 43/318, 9517/1899

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 43/318,9517/1899

Given numbers are 43/318,9517/1899

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 43,9517

Least Common Multiple of Numerators i.e. LCM of 43,9517 is 409231.

GCF of Denominators means GCF of 318,1899 as per the given fractions.

GCF of 318,1899 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,9517

LCM of Fractions 43/318,9517/1899 is 409231/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 409231

Least Common Multiple of 43,9517 with GCF Formula

Least Common Multiple of 43,9517 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 43,9517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,9517) = 1

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

GCF(43,9517) x common factors =1 x 1 = 1

LCM(43,9517) = ( 43 × 9517 ) / 1

LCM(43,9517) = 409231 / 1

LCM(43,9517) = 409231


Lets's calculate GCF of 318,1899

3 318, 1899
106, 633

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409231/3

Therefore the LCM of Fractions 43/318,9517/1899 is 409231/3

Greatest Common Factor of 318,1899 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,1899 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 1899

List of positive integer factors of 1899 that divides 1899 without a remainder.

1,3,9,211,633,1899

Greatest Common Factor

We found the factors 318,1899 . The biggest common factor number is the GCF number.
So the greatest common factor 318,1899 is 3.


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 43/318, 9517/1899

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 43/318, 9517/1899?

Answer: LCM of Numerators as per given numbers 43/318, 9517/1899 is

LCM of Numerators i.e. for 43,9517 is 409231

GCF of denominators i.e. for 318,1899 is 3.

Thus, LCM of Fractions is 409231/3.Finally, LCM of Fractions for 43/318, 9517/1899 is 409231/3.