Least Common Multiple of 3624/81, 6917/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3624/81, 6917/284 quickly i.e. 25067208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3624/81, 6917/284 is 25067208.

LCM(3624/81, 6917/284) = 25067208

LCM of 3624/81, 6917/284

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 3624/81,6917/284

Given numbers are 3624/81,6917/284

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 3624,6917

Least Common Multiple of Numerators i.e. LCM of 3624,6917 is 25067208.

GCF of Denominators means GCF of 81,284 as per the given fractions.

GCF of 81,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3624,6917

LCM of Fractions 3624/81,6917/284 is 25067208

Given numbers has no common factors except 1. So, there LCM is their product i.e 25067208

Least Common Multiple of 3624,6917 with GCF Formula

Least Common Multiple of 3624,6917 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 3624,6917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3624,6917) = 1

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

GCF(3624,6917) x common factors =1 x 1 = 1

LCM(3624,6917) = ( 3624 × 6917 ) / 1

LCM(3624,6917) = 25067208 / 1

LCM(3624,6917) = 25067208


Lets's calculate GCF of 81,284

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25067208/1

Therefore the LCM of Fractions 3624/81,6917/284 is 25067208

Greatest Common Factor of 81,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,284 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 81,284 . The biggest common factor number is the GCF number.
So the greatest common factor 81,284 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3624/81, 6917/284

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 3624/81, 6917/284?

Answer: LCM of Numerators as per given numbers 3624/81, 6917/284 is

LCM of Numerators i.e. for 3624,6917 is 25067208

GCF of denominators i.e. for 81,284 is 1.

Thus, LCM of Fractions is 25067208.Finally, LCM of Fractions for 3624/81, 6917/284 is 25067208.