Least Common Multiple of 9249/447, 3741/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9249/447, 3741/465 quickly i.e. 3844501 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9249/447, 3741/465 is 3844501.

LCM(9249/447, 3741/465) = 3844501

LCM of 9249/447, 3741/465

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 9249/447,3741/465

Given numbers are 9249/447,3741/465

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 9249,3741

Least Common Multiple of Numerators i.e. LCM of 9249,3741 is 11533503.

GCF of Denominators means GCF of 447,465 as per the given fractions.

GCF of 447,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9249,3741

LCM of Fractions 9249/447,3741/465 is 3844501

3 9249, 3741
3083, 1247

∴ So the LCM of the given numbers is 3 x 3083 x 1247 = 11533503

Least Common Multiple of 9249,3741 with GCF Formula

Least Common Multiple of 9249,3741 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 9249,3741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9249,3741) = 3

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

GCF(9249,3741) x common factors =3 x 1 = 3

LCM(9249,3741) = ( 9249 × 3741 ) / 3

LCM(9249,3741) = 34600509 / 3

LCM(9249,3741) = 11533503


Lets's calculate GCF of 447,465

3 447, 465
149, 155

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11533503/3

Therefore the LCM of Fractions 9249/447,3741/465 is 3844501

Greatest Common Factor of 447,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,465 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 447,465 . The biggest common factor number is the GCF number.
So the greatest common factor 447,465 is 3.


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 9249/447, 3741/465

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 9249/447, 3741/465?

Answer: LCM of Numerators as per given numbers 9249/447, 3741/465 is

LCM of Numerators i.e. for 9249,3741 is 11533503

GCF of denominators i.e. for 447,465 is 3.

Thus, LCM of Fractions is 3844501.Finally, LCM of Fractions for 9249/447, 3741/465 is 3844501.