Least Common Multiple of 9000/362, 2023/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9000/362, 2023/272 quickly i.e. 9103500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9000/362, 2023/272 is 9103500.

LCM(9000/362, 2023/272) = 9103500

LCM of 9000/362, 2023/272

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 9000/362,2023/272

Given numbers are 9000/362,2023/272

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 9000,2023

Least Common Multiple of Numerators i.e. LCM of 9000,2023 is 18207000.

GCF of Denominators means GCF of 362,272 as per the given fractions.

GCF of 362,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9000,2023

LCM of Fractions 9000/362,2023/272 is 9103500

Given numbers has no common factors except 1. So, there LCM is their product i.e 18207000

Least Common Multiple of 9000,2023 with GCF Formula

Least Common Multiple of 9000,2023 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 9000,2023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9000,2023) = 1

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

GCF(9000,2023) x common factors =1 x 1 = 1

LCM(9000,2023) = ( 9000 × 2023 ) / 1

LCM(9000,2023) = 18207000 / 1

LCM(9000,2023) = 18207000


Lets's calculate GCF of 362,272

2 362, 272
181, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18207000/2

Therefore the LCM of Fractions 9000/362,2023/272 is 9103500

Greatest Common Factor of 362,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,272 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 362,272 . The biggest common factor number is the GCF number.
So the greatest common factor 362,272 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 9000/362, 2023/272

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 9000/362, 2023/272?

Answer: LCM of Numerators as per given numbers 9000/362, 2023/272 is

LCM of Numerators i.e. for 9000,2023 is 18207000

GCF of denominators i.e. for 362,272 is 2.

Thus, LCM of Fractions is 9103500.Finally, LCM of Fractions for 9000/362, 2023/272 is 9103500.