Least Common Multiple of 3249/286, 9535/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3249/286, 9535/264 quickly i.e. 30979215/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3249/286, 9535/264 is 30979215/22.

LCM(3249/286, 9535/264) = 30979215/22

LCM of 3249/286, 9535/264

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 3249/286,9535/264

Given numbers are 3249/286,9535/264

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 3249,9535

Least Common Multiple of Numerators i.e. LCM of 3249,9535 is 30979215.

GCF of Denominators means GCF of 286,264 as per the given fractions.

GCF of 286,264 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3249,9535

LCM of Fractions 3249/286,9535/264 is 30979215/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 30979215

Least Common Multiple of 3249,9535 with GCF Formula

Least Common Multiple of 3249,9535 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 3249,9535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3249,9535) = 1

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

GCF(3249,9535) x common factors =1 x 1 = 1

LCM(3249,9535) = ( 3249 × 9535 ) / 1

LCM(3249,9535) = 30979215 / 1

LCM(3249,9535) = 30979215


Lets's calculate GCF of 286,264

2 286, 264
11 143, 132
13, 12

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30979215/22

Therefore the LCM of Fractions 3249/286,9535/264 is 30979215/22

Greatest Common Factor of 286,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,264 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 286,264 . The biggest common factor number is the GCF number.
So the greatest common factor 286,264 is 22.


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 3249/286, 9535/264

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 3249/286, 9535/264?

Answer: LCM of Numerators as per given numbers 3249/286, 9535/264 is

LCM of Numerators i.e. for 3249,9535 is 30979215

GCF of denominators i.e. for 286,264 is 22.

Thus, LCM of Fractions is 30979215/22.Finally, LCM of Fractions for 3249/286, 9535/264 is 30979215/22.