Least Common Multiple of 412/40, 309/8690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/40, 309/8690 quickly i.e. 1236/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/40, 309/8690 is 1236/10.

LCM(412/40, 309/8690) = 1236/10

LCM of 412/40, 309/8690

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 412/40,309/8690

Given numbers are 412/40,309/8690

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 412,309

Least Common Multiple of Numerators i.e. LCM of 412,309 is 1236.

GCF of Denominators means GCF of 40,8690 as per the given fractions.

GCF of 40,8690 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,309

LCM of Fractions 412/40,309/8690 is 1236/10

103 412, 309
4, 3

∴ So the LCM of the given numbers is 103 x 4 x 3 = 1236

Least Common Multiple of 412,309 with GCF Formula

Least Common Multiple of 412,309 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 412,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,309) = 103

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

GCF(412,309) x common factors =103 x 1 = 103

LCM(412,309) = ( 412 × 309 ) / 103

LCM(412,309) = 127308 / 103

LCM(412,309) = 1236


Lets's calculate GCF of 40,8690

2 40, 8690
5 20, 4345
4, 869

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1236/10

Therefore the LCM of Fractions 412/40,309/8690 is 1236/10

Greatest Common Factor of 40,8690 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,8690 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Greatest Common Factor

We found the factors 40,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 40,8690 is 10.


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 412/40, 309/8690

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 412/40, 309/8690?

Answer: LCM of Numerators as per given numbers 412/40, 309/8690 is

LCM of Numerators i.e. for 412,309 is 1236

GCF of denominators i.e. for 40,8690 is 10.

Thus, LCM of Fractions is 1236/10.Finally, LCM of Fractions for 412/40, 309/8690 is 1236/10.