Least Common Multiple of 3634/15, 5905/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3634/15, 5905/234 quickly i.e. 21458770/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3634/15, 5905/234 is 21458770/3.

LCM(3634/15, 5905/234) = 21458770/3

LCM of 3634/15, 5905/234

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 3634/15,5905/234

Given numbers are 3634/15,5905/234

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 3634,5905

Least Common Multiple of Numerators i.e. LCM of 3634,5905 is 21458770.

GCF of Denominators means GCF of 15,234 as per the given fractions.

GCF of 15,234 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3634,5905

LCM of Fractions 3634/15,5905/234 is 21458770/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 21458770

Least Common Multiple of 3634,5905 with GCF Formula

Least Common Multiple of 3634,5905 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 3634,5905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3634,5905) = 1

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

GCF(3634,5905) x common factors =1 x 1 = 1

LCM(3634,5905) = ( 3634 × 5905 ) / 1

LCM(3634,5905) = 21458770 / 1

LCM(3634,5905) = 21458770


Lets's calculate GCF of 15,234

3 15, 234
5, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21458770/3

Therefore the LCM of Fractions 3634/15,5905/234 is 21458770/3

Greatest Common Factor of 15,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,234 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 15,234 . The biggest common factor number is the GCF number.
So the greatest common factor 15,234 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 3634/15, 5905/234

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 3634/15, 5905/234?

Answer: LCM of Numerators as per given numbers 3634/15, 5905/234 is

LCM of Numerators i.e. for 3634,5905 is 21458770

GCF of denominators i.e. for 15,234 is 3.

Thus, LCM of Fractions is 21458770/3.Finally, LCM of Fractions for 3634/15, 5905/234 is 21458770/3.