Least Common Multiple of 3652/258, 8379/7216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3652/258, 8379/7216 quickly i.e. 15300054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3652/258, 8379/7216 is 15300054.

LCM(3652/258, 8379/7216) = 15300054

LCM of 3652/258, 8379/7216

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 3652/258,8379/7216

Given numbers are 3652/258,8379/7216

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 3652,8379

Least Common Multiple of Numerators i.e. LCM of 3652,8379 is 30600108.

GCF of Denominators means GCF of 258,7216 as per the given fractions.

GCF of 258,7216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3652,8379

LCM of Fractions 3652/258,8379/7216 is 15300054

Given numbers has no common factors except 1. So, there LCM is their product i.e 30600108

Least Common Multiple of 3652,8379 with GCF Formula

Least Common Multiple of 3652,8379 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 3652,8379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3652,8379) = 1

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

GCF(3652,8379) x common factors =1 x 1 = 1

LCM(3652,8379) = ( 3652 × 8379 ) / 1

LCM(3652,8379) = 30600108 / 1

LCM(3652,8379) = 30600108


Lets's calculate GCF of 258,7216

2 258, 7216
129, 3608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30600108/2

Therefore the LCM of Fractions 3652/258,8379/7216 is 15300054

Greatest Common Factor of 258,7216 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,7216 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Greatest Common Factor

We found the factors 258,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 258,7216 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 3652/258, 8379/7216

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 3652/258, 8379/7216?

Answer: LCM of Numerators as per given numbers 3652/258, 8379/7216 is

LCM of Numerators i.e. for 3652,8379 is 30600108

GCF of denominators i.e. for 258,7216 is 2.

Thus, LCM of Fractions is 15300054.Finally, LCM of Fractions for 3652/258, 8379/7216 is 15300054.