Least Common Multiple of 171/594, 2720/5515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/594, 2720/5515 quickly i.e. 465120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/594, 2720/5515 is 465120.

LCM(171/594, 2720/5515) = 465120

LCM of 171/594, 2720/5515

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 171/594,2720/5515

Given numbers are 171/594,2720/5515

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 171,2720

Least Common Multiple of Numerators i.e. LCM of 171,2720 is 465120.

GCF of Denominators means GCF of 594,5515 as per the given fractions.

GCF of 594,5515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,2720

LCM of Fractions 171/594,2720/5515 is 465120

Given numbers has no common factors except 1. So, there LCM is their product i.e 465120

Least Common Multiple of 171,2720 with GCF Formula

Least Common Multiple of 171,2720 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 171,2720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,2720) = 1

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

GCF(171,2720) x common factors =1 x 1 = 1

LCM(171,2720) = ( 171 × 2720 ) / 1

LCM(171,2720) = 465120 / 1

LCM(171,2720) = 465120


Lets's calculate GCF of 594,5515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465120/1

Therefore the LCM of Fractions 171/594,2720/5515 is 465120

Greatest Common Factor of 594,5515 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,5515 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1,5,1103,5515

Greatest Common Factor

We found the factors 594,5515 . The biggest common factor number is the GCF number.
So the greatest common factor 594,5515 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 171/594, 2720/5515

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 171/594, 2720/5515?

Answer: LCM of Numerators as per given numbers 171/594, 2720/5515 is

LCM of Numerators i.e. for 171,2720 is 465120

GCF of denominators i.e. for 594,5515 is 1.

Thus, LCM of Fractions is 465120.Finally, LCM of Fractions for 171/594, 2720/5515 is 465120.