Least Common Multiple of 8217/130, 3817/3248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8217/130, 3817/3248 quickly i.e. 2851299/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8217/130, 3817/3248 is 2851299/2.

LCM(8217/130, 3817/3248) = 2851299/2

LCM of 8217/130, 3817/3248

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 8217/130,3817/3248

Given numbers are 8217/130,3817/3248

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 8217,3817

Least Common Multiple of Numerators i.e. LCM of 8217,3817 is 2851299.

GCF of Denominators means GCF of 130,3248 as per the given fractions.

GCF of 130,3248 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8217,3817

LCM of Fractions 8217/130,3817/3248 is 2851299/2

11 8217, 3817
747, 347

∴ So the LCM of the given numbers is 11 x 747 x 347 = 2851299

Least Common Multiple of 8217,3817 with GCF Formula

Least Common Multiple of 8217,3817 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 8217,3817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8217,3817) = 11

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

GCF(8217,3817) x common factors =11 x 1 = 11

LCM(8217,3817) = ( 8217 × 3817 ) / 11

LCM(8217,3817) = 31364289 / 11

LCM(8217,3817) = 2851299


Lets's calculate GCF of 130,3248

2 130, 3248
65, 1624

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2851299/2

Therefore the LCM of Fractions 8217/130,3817/3248 is 2851299/2

Greatest Common Factor of 130,3248 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,3248 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Greatest Common Factor

We found the factors 130,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 130,3248 is 2.


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 8217/130, 3817/3248

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 8217/130, 3817/3248?

Answer: LCM of Numerators as per given numbers 8217/130, 3817/3248 is

LCM of Numerators i.e. for 8217,3817 is 2851299

GCF of denominators i.e. for 130,3248 is 2.

Thus, LCM of Fractions is 2851299/2.Finally, LCM of Fractions for 8217/130, 3817/3248 is 2851299/2.