Least Common Multiple of 43/437, 9309/3116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/437, 9309/3116 quickly i.e. 400287/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/437, 9309/3116 is 400287/19.

LCM(43/437, 9309/3116) = 400287/19

LCM of 43/437, 9309/3116

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 43/437,9309/3116

Given numbers are 43/437,9309/3116

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 43,9309

Least Common Multiple of Numerators i.e. LCM of 43,9309 is 400287.

GCF of Denominators means GCF of 437,3116 as per the given fractions.

GCF of 437,3116 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,9309

LCM of Fractions 43/437,9309/3116 is 400287/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 400287

Least Common Multiple of 43,9309 with GCF Formula

Least Common Multiple of 43,9309 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 43,9309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,9309) = 1

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

GCF(43,9309) x common factors =1 x 1 = 1

LCM(43,9309) = ( 43 × 9309 ) / 1

LCM(43,9309) = 400287 / 1

LCM(43,9309) = 400287


Lets's calculate GCF of 437,3116

19 437, 3116
23, 164

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400287/19

Therefore the LCM of Fractions 43/437,9309/3116 is 400287/19

Greatest Common Factor of 437,3116 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,3116 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 3116

List of positive integer factors of 3116 that divides 3116 without a remainder.

1,2,4,19,38,41,76,82,164,779,1558,3116

Greatest Common Factor

We found the factors 437,3116 . The biggest common factor number is the GCF number.
So the greatest common factor 437,3116 is 19.


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 43/437, 9309/3116

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 43/437, 9309/3116?

Answer: LCM of Numerators as per given numbers 43/437, 9309/3116 is

LCM of Numerators i.e. for 43,9309 is 400287

GCF of denominators i.e. for 437,3116 is 19.

Thus, LCM of Fractions is 400287/19.Finally, LCM of Fractions for 43/437, 9309/3116 is 400287/19.