Least Common Multiple of 512/537, 8914/9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/537, 8914/9165 quickly i.e. 2281984/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/537, 8914/9165 is 2281984/3.

LCM(512/537, 8914/9165) = 2281984/3

LCM of 512/537, 8914/9165

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 512/537,8914/9165

Given numbers are 512/537,8914/9165

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 512,8914

Least Common Multiple of Numerators i.e. LCM of 512,8914 is 2281984.

GCF of Denominators means GCF of 537,9165 as per the given fractions.

GCF of 537,9165 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,8914

LCM of Fractions 512/537,8914/9165 is 2281984/3

2 512, 8914
256, 4457

∴ So the LCM of the given numbers is 2 x 256 x 4457 = 2281984

Least Common Multiple of 512,8914 with GCF Formula

Least Common Multiple of 512,8914 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 512,8914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,8914) = 2

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

GCF(512,8914) x common factors =2 x 1 = 2

LCM(512,8914) = ( 512 × 8914 ) / 2

LCM(512,8914) = 4563968 / 2

LCM(512,8914) = 2281984


Lets's calculate GCF of 537,9165

3 537, 9165
179, 3055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2281984/3

Therefore the LCM of Fractions 512/537,8914/9165 is 2281984/3

Greatest Common Factor of 537,9165 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,9165 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Greatest Common Factor

We found the factors 537,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 537,9165 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 512/537, 8914/9165

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 512/537, 8914/9165?

Answer: LCM of Numerators as per given numbers 512/537, 8914/9165 is

LCM of Numerators i.e. for 512,8914 is 2281984

GCF of denominators i.e. for 537,9165 is 3.

Thus, LCM of Fractions is 2281984/3.Finally, LCM of Fractions for 512/537, 8914/9165 is 2281984/3.