Least Common Multiple of 18/301, 2249/4816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/301, 2249/4816 quickly i.e. 40482/301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/301, 2249/4816 is 40482/301.

LCM(18/301, 2249/4816) = 40482/301

LCM of 18/301, 2249/4816

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 18/301,2249/4816

Given numbers are 18/301,2249/4816

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 18,2249

Least Common Multiple of Numerators i.e. LCM of 18,2249 is 40482.

GCF of Denominators means GCF of 301,4816 as per the given fractions.

GCF of 301,4816 is 301 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,2249

LCM of Fractions 18/301,2249/4816 is 40482/301

Given numbers has no common factors except 1. So, there LCM is their product i.e 40482

Least Common Multiple of 18,2249 with GCF Formula

Least Common Multiple of 18,2249 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 18,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,2249) = 1

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

GCF(18,2249) x common factors =1 x 1 = 1

LCM(18,2249) = ( 18 × 2249 ) / 1

LCM(18,2249) = 40482 / 1

LCM(18,2249) = 40482


Lets's calculate GCF of 301,4816

7 301, 4816
43 43, 688
1, 16

∴ So the GCF of the given numbers is 7 x 43 = 301

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40482/301

Therefore the LCM of Fractions 18/301,2249/4816 is 40482/301

Greatest Common Factor of 301,4816 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,4816 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Greatest Common Factor

We found the factors 301,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 301,4816 is 301.


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 18/301, 2249/4816

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 18/301, 2249/4816?

Answer: LCM of Numerators as per given numbers 18/301, 2249/4816 is

LCM of Numerators i.e. for 18,2249 is 40482

GCF of denominators i.e. for 301,4816 is 301.

Thus, LCM of Fractions is 40482/301.Finally, LCM of Fractions for 18/301, 2249/4816 is 40482/301.