Least Common Multiple of 17/224, 704/259, 301/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/224, 704/259, 301/161 quickly i.e. 514624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/224, 704/259, 301/161 is 514624.

LCM(17/224, 704/259, 301/161) = 514624

LCM of 17/224, 704/259, 301/161

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 17/224,704/259,301/161

Given numbers are 17/224,704/259,301/161

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 17,704,301

Least Common Multiple of Numerators i.e. LCM of 17,704,301 is 3602368.

GCF of Denominators means GCF of 224,259,161 as per the given fractions.

GCF of 224,259,161 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,704,301

LCM of Fractions 17/224,704/259,301/161 is 514624

Given numbers has no common factors except 1. So, there LCM is their product i.e 3602368

Least Common Multiple of 17,704,301 with GCF Formula

Least Common Multiple of 17,704,301 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 17,704,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,704,301) = 1

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

GCF(17,704,301) x common factors =1 x 1 = 1

LCM(17,704,301) = ( 17 × 704 × 301 ) / 1

LCM(17,704,301) = 3602368 / 1

LCM(17,704,301) = 3602368


Lets's calculate GCF of 224,259,161

7 224, 259, 161
32, 37, 23

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3602368/7

Therefore the LCM of Fractions 17/224,704/259,301/161 is 514624

Greatest Common Factor of 224,259,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,259,161 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 224,259,161 . The biggest common factor number is the GCF number.
So the greatest common factor 224,259,161 is 7.


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 17/224, 704/259, 301/161

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 17/224, 704/259, 301/161?

Answer: LCM of Numerators as per given numbers 17/224, 704/259, 301/161 is

LCM of Numerators i.e. for 17,704,301 is 3602368

GCF of denominators i.e. for 224,259,161 is 7.

Thus, LCM of Fractions is 514624.Finally, LCM of Fractions for 17/224, 704/259, 301/161 is 514624.