Least Common Multiple of 17/13, 53/43, 750/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/13, 53/43, 750/239 quickly i.e. 675750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/13, 53/43, 750/239 is 675750.

LCM(17/13, 53/43, 750/239) = 675750

LCM of 17/13, 53/43, 750/239

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 17/13,53/43,750/239

Given numbers are 17/13,53/43,750/239

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 17,53,750

Least Common Multiple of Numerators i.e. LCM of 17,53,750 is 675750.

GCF of Denominators means GCF of 13,43,239 as per the given fractions.

GCF of 13,43,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,53,750

LCM of Fractions 17/13,53/43,750/239 is 675750

Given numbers has no common factors except 1. So, there LCM is their product i.e 675750

Least Common Multiple of 17,53,750 with GCF Formula

Least Common Multiple of 17,53,750 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 17,53,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,53,750) = 1

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

GCF(17,53,750) x common factors =1 x 1 = 1

LCM(17,53,750) = ( 17 × 53 × 750 ) / 1

LCM(17,53,750) = 675750 / 1

LCM(17,53,750) = 675750


Lets's calculate GCF of 13,43,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675750/1

Therefore the LCM of Fractions 17/13,53/43,750/239 is 675750

Greatest Common Factor of 13,43,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,43,239 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 13,43,239 . The biggest common factor number is the GCF number.
So the greatest common factor 13,43,239 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 17/13, 53/43, 750/239

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 17/13, 53/43, 750/239?

Answer: LCM of Numerators as per given numbers 17/13, 53/43, 750/239 is

LCM of Numerators i.e. for 17,53,750 is 675750

GCF of denominators i.e. for 13,43,239 is 1.

Thus, LCM of Fractions is 675750.Finally, LCM of Fractions for 17/13, 53/43, 750/239 is 675750.