Least Common Multiple of 487/62, 960/20, 494/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 487/62, 960/20, 494/535 quickly i.e. 115477440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 487/62, 960/20, 494/535 is 115477440.

LCM(487/62, 960/20, 494/535) = 115477440

LCM of 487/62, 960/20, 494/535

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 487/62,960/20,494/535

Given numbers are 487/62,960/20,494/535

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 487,960,494

Least Common Multiple of Numerators i.e. LCM of 487,960,494 is 115477440.

GCF of Denominators means GCF of 62,20,535 as per the given fractions.

GCF of 62,20,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 487,960,494

LCM of Fractions 487/62,960/20,494/535 is 115477440

2 487, 960, 494
487, 480, 247

∴ So the LCM of the given numbers is 2 x 487 x 480 x 247 = 115477440

Least Common Multiple of 487,960,494 with GCF Formula

Least Common Multiple of 487,960,494 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 487,960,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,960,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(487,960,494) x common factors =1 x 2 = 2

LCM(487,960,494) = ( 487 × 960 × 494 ) / 2

LCM(487,960,494) = 230954880 / 2

LCM(487,960,494) = 115477440


Lets's calculate GCF of 62,20,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115477440/1

Therefore the LCM of Fractions 487/62,960/20,494/535 is 115477440

Greatest Common Factor of 62,20,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,20,535 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 62,20,535 . The biggest common factor number is the GCF number.
So the greatest common factor 62,20,535 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 487/62, 960/20, 494/535

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 487/62, 960/20, 494/535?

Answer: LCM of Numerators as per given numbers 487/62, 960/20, 494/535 is

LCM of Numerators i.e. for 487,960,494 is 115477440

GCF of denominators i.e. for 62,20,535 is 1.

Thus, LCM of Fractions is 115477440.Finally, LCM of Fractions for 487/62, 960/20, 494/535 is 115477440.