Least Common Multiple of 8236/30, 3102/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8236/30, 3102/525 quickly i.e. 12774036/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8236/30, 3102/525 is 12774036/15.

LCM(8236/30, 3102/525) = 12774036/15

LCM of 8236/30, 3102/525

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 8236/30,3102/525

Given numbers are 8236/30,3102/525

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 8236,3102

Least Common Multiple of Numerators i.e. LCM of 8236,3102 is 12774036.

GCF of Denominators means GCF of 30,525 as per the given fractions.

GCF of 30,525 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8236,3102

LCM of Fractions 8236/30,3102/525 is 12774036/15

2 8236, 3102
4118, 1551

∴ So the LCM of the given numbers is 2 x 4118 x 1551 = 12774036

Least Common Multiple of 8236,3102 with GCF Formula

Least Common Multiple of 8236,3102 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 8236,3102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8236,3102) = 2

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

GCF(8236,3102) x common factors =2 x 1 = 2

LCM(8236,3102) = ( 8236 × 3102 ) / 2

LCM(8236,3102) = 25548072 / 2

LCM(8236,3102) = 12774036


Lets's calculate GCF of 30,525

3 30, 525
5 10, 175
2, 35

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12774036/15

Therefore the LCM of Fractions 8236/30,3102/525 is 12774036/15

Greatest Common Factor of 30,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,525 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 30,525 . The biggest common factor number is the GCF number.
So the greatest common factor 30,525 is 15.


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 8236/30, 3102/525

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 8236/30, 3102/525?

Answer: LCM of Numerators as per given numbers 8236/30, 3102/525 is

LCM of Numerators i.e. for 8236,3102 is 12774036

GCF of denominators i.e. for 30,525 is 15.

Thus, LCM of Fractions is 12774036/15.Finally, LCM of Fractions for 8236/30, 3102/525 is 12774036/15.