Least Common Multiple of 308/235, 3649/3225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/235, 3649/3225 quickly i.e. 1123892/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/235, 3649/3225 is 1123892/5.

LCM(308/235, 3649/3225) = 1123892/5

LCM of 308/235, 3649/3225

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 308/235,3649/3225

Given numbers are 308/235,3649/3225

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 308,3649

Least Common Multiple of Numerators i.e. LCM of 308,3649 is 1123892.

GCF of Denominators means GCF of 235,3225 as per the given fractions.

GCF of 235,3225 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,3649

LCM of Fractions 308/235,3649/3225 is 1123892/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1123892

Least Common Multiple of 308,3649 with GCF Formula

Least Common Multiple of 308,3649 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 308,3649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,3649) = 1

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

GCF(308,3649) x common factors =1 x 1 = 1

LCM(308,3649) = ( 308 × 3649 ) / 1

LCM(308,3649) = 1123892 / 1

LCM(308,3649) = 1123892


Lets's calculate GCF of 235,3225

5 235, 3225
47, 645

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1123892/5

Therefore the LCM of Fractions 308/235,3649/3225 is 1123892/5

Greatest Common Factor of 235,3225 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,3225 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Greatest Common Factor

We found the factors 235,3225 . The biggest common factor number is the GCF number.
So the greatest common factor 235,3225 is 5.


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 308/235, 3649/3225

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 308/235, 3649/3225?

Answer: LCM of Numerators as per given numbers 308/235, 3649/3225 is

LCM of Numerators i.e. for 308,3649 is 1123892

GCF of denominators i.e. for 235,3225 is 5.

Thus, LCM of Fractions is 1123892/5.Finally, LCM of Fractions for 308/235, 3649/3225 is 1123892/5.