Least Common Multiple of 13/66, 17/19, 66/75, 13/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/66, 17/19, 66/75, 13/257 quickly i.e. 14586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/66, 17/19, 66/75, 13/257 is 14586.

LCM(13/66, 17/19, 66/75, 13/257) = 14586

LCM of 13/66, 17/19, 66/75, 13/257

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 13/66,17/19,66/75,13/257

Given numbers are 13/66,17/19,66/75,13/257

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 13,17,66,13

Least Common Multiple of Numerators i.e. LCM of 13,17,66,13 is 14586.

GCF of Denominators means GCF of 66,19,75,257 as per the given fractions.

GCF of 66,19,75,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,17,66,13

LCM of Fractions 13/66,17/19,66/75,13/257 is 14586

13 13, 17, 66, 13
1, 17, 66, 1

∴ So the LCM of the given numbers is 13 x 1 x 17 x 66 x 1 = 14586

Least Common Multiple of 13,17,66,13 with GCF Formula

Least Common Multiple of 13,17,66,13 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 13,17,66,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,17,66,13) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,17,66,13) x common factors =1 x 13 = 13

LCM(13,17,66,13) = ( 13 × 17 × 66 × 13 ) / 13

LCM(13,17,66,13) = 189618 / 13

LCM(13,17,66,13) = 14586


Lets's calculate GCF of 66,19,75,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14586/1

Therefore the LCM of Fractions 13/66,17/19,66/75,13/257 is 14586

Greatest Common Factor of 66,19,75,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,19,75,257 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 66,19,75,257 . The biggest common factor number is the GCF number.
So the greatest common factor 66,19,75,257 is 1.


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 13/66, 17/19, 66/75, 13/257

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 13/66, 17/19, 66/75, 13/257?

Answer: LCM of Numerators as per given numbers 13/66, 17/19, 66/75, 13/257 is

LCM of Numerators i.e. for 13,17,66,13 is 14586

GCF of denominators i.e. for 66,19,75,257 is 1.

Thus, LCM of Fractions is 14586.Finally, LCM of Fractions for 13/66, 17/19, 66/75, 13/257 is 14586.