Least Common Multiple of 258/16, 388/5260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/16, 388/5260 quickly i.e. 12513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/16, 388/5260 is 12513.

LCM(258/16, 388/5260) = 12513

LCM of 258/16, 388/5260

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 258/16,388/5260

Given numbers are 258/16,388/5260

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 258,388

Least Common Multiple of Numerators i.e. LCM of 258,388 is 50052.

GCF of Denominators means GCF of 16,5260 as per the given fractions.

GCF of 16,5260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,388

LCM of Fractions 258/16,388/5260 is 12513

2 258, 388
129, 194

∴ So the LCM of the given numbers is 2 x 129 x 194 = 50052

Least Common Multiple of 258,388 with GCF Formula

Least Common Multiple of 258,388 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 258,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,388) = 2

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

GCF(258,388) x common factors =2 x 1 = 2

LCM(258,388) = ( 258 × 388 ) / 2

LCM(258,388) = 100104 / 2

LCM(258,388) = 50052


Lets's calculate GCF of 16,5260

2 16, 5260
2 8, 2630
4, 1315

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50052/4

Therefore the LCM of Fractions 258/16,388/5260 is 12513

Greatest Common Factor of 16,5260 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,5260 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Greatest Common Factor

We found the factors 16,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5260 is 4.


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 258/16, 388/5260

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 258/16, 388/5260?

Answer: LCM of Numerators as per given numbers 258/16, 388/5260 is

LCM of Numerators i.e. for 258,388 is 50052

GCF of denominators i.e. for 16,5260 is 4.

Thus, LCM of Fractions is 12513.Finally, LCM of Fractions for 258/16, 388/5260 is 12513.