Least Common Multiple of 527/31, 817/32, 285/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 527/31, 817/32, 285/818 quickly i.e. 6458385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/31, 817/32, 285/818 is 6458385.

LCM(527/31, 817/32, 285/818) = 6458385

LCM of 527/31, 817/32, 285/818

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 527/31,817/32,285/818

Given numbers are 527/31,817/32,285/818

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 527,817,285

Least Common Multiple of Numerators i.e. LCM of 527,817,285 is 6458385.

GCF of Denominators means GCF of 31,32,818 as per the given fractions.

GCF of 31,32,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,817,285

LCM of Fractions 527/31,817/32,285/818 is 6458385

19 527, 817, 285
527, 43, 15

∴ So the LCM of the given numbers is 19 x 527 x 43 x 15 = 6458385

Least Common Multiple of 527,817,285 with GCF Formula

Least Common Multiple of 527,817,285 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 527,817,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,817,285) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(527,817,285) x common factors =1 x 19 = 19

LCM(527,817,285) = ( 527 × 817 × 285 ) / 19

LCM(527,817,285) = 122709315 / 19

LCM(527,817,285) = 6458385


Lets's calculate GCF of 31,32,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6458385/1

Therefore the LCM of Fractions 527/31,817/32,285/818 is 6458385

Greatest Common Factor of 31,32,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,32,818 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 31,32,818 . The biggest common factor number is the GCF number.
So the greatest common factor 31,32,818 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 527/31, 817/32, 285/818

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 527/31, 817/32, 285/818?

Answer: LCM of Numerators as per given numbers 527/31, 817/32, 285/818 is

LCM of Numerators i.e. for 527,817,285 is 6458385

GCF of denominators i.e. for 31,32,818 is 1.

Thus, LCM of Fractions is 6458385.Finally, LCM of Fractions for 527/31, 817/32, 285/818 is 6458385.