Least Common Multiple of 56/576, 17/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/576, 17/915 quickly i.e. 952/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/576, 17/915 is 952/3.

LCM(56/576, 17/915) = 952/3

LCM of 56/576, 17/915

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 56/576,17/915

Given numbers are 56/576,17/915

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 56,17

Least Common Multiple of Numerators i.e. LCM of 56,17 is 952.

GCF of Denominators means GCF of 576,915 as per the given fractions.

GCF of 576,915 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,17

LCM of Fractions 56/576,17/915 is 952/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 952

Least Common Multiple of 56,17 with GCF Formula

Least Common Multiple of 56,17 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 56,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,17) = 1

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

GCF(56,17) x common factors =1 x 1 = 1

LCM(56,17) = ( 56 × 17 ) / 1

LCM(56,17) = 952 / 1

LCM(56,17) = 952


Lets's calculate GCF of 576,915

3 576, 915
192, 305

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952/3

Therefore the LCM of Fractions 56/576,17/915 is 952/3

Greatest Common Factor of 576,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,915 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 576,915 . The biggest common factor number is the GCF number.
So the greatest common factor 576,915 is 3.


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 56/576, 17/915

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 56/576, 17/915?

Answer: LCM of Numerators as per given numbers 56/576, 17/915 is

LCM of Numerators i.e. for 56,17 is 952

GCF of denominators i.e. for 576,915 is 3.

Thus, LCM of Fractions is 952/3.Finally, LCM of Fractions for 56/576, 17/915 is 952/3.