Least Common Multiple of 512/60, 914/4501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/60, 914/4501 quickly i.e. 233984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/60, 914/4501 is 233984.

LCM(512/60, 914/4501) = 233984

LCM of 512/60, 914/4501

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 512/60,914/4501

Given numbers are 512/60,914/4501

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 512,914

Least Common Multiple of Numerators i.e. LCM of 512,914 is 233984.

GCF of Denominators means GCF of 60,4501 as per the given fractions.

GCF of 60,4501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,914

LCM of Fractions 512/60,914/4501 is 233984

2 512, 914
256, 457

∴ So the LCM of the given numbers is 2 x 256 x 457 = 233984

Least Common Multiple of 512,914 with GCF Formula

Least Common Multiple of 512,914 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 512,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,914) = 2

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

GCF(512,914) x common factors =2 x 1 = 2

LCM(512,914) = ( 512 × 914 ) / 2

LCM(512,914) = 467968 / 2

LCM(512,914) = 233984


Lets's calculate GCF of 60,4501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233984/1

Therefore the LCM of Fractions 512/60,914/4501 is 233984

Greatest Common Factor of 60,4501 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,4501 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 4501

List of positive integer factors of 4501 that divides 4501 without a remainder.

1,7,643,4501

Greatest Common Factor

We found the factors 60,4501 . The biggest common factor number is the GCF number.
So the greatest common factor 60,4501 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 512/60, 914/4501

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 512/60, 914/4501?

Answer: LCM of Numerators as per given numbers 512/60, 914/4501 is

LCM of Numerators i.e. for 512,914 is 233984

GCF of denominators i.e. for 60,4501 is 1.

Thus, LCM of Fractions is 233984.Finally, LCM of Fractions for 512/60, 914/4501 is 233984.