Least Common Multiple of 59/86, 559/42, 403/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/86, 559/42, 403/285 quickly i.e. 1022411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/86, 559/42, 403/285 is 1022411.

LCM(59/86, 559/42, 403/285) = 1022411

LCM of 59/86, 559/42, 403/285

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 59/86,559/42,403/285

Given numbers are 59/86,559/42,403/285

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 59,559,403

Least Common Multiple of Numerators i.e. LCM of 59,559,403 is 1022411.

GCF of Denominators means GCF of 86,42,285 as per the given fractions.

GCF of 86,42,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,559,403

LCM of Fractions 59/86,559/42,403/285 is 1022411

13 59, 559, 403
59, 43, 31

∴ So the LCM of the given numbers is 13 x 59 x 43 x 31 = 1022411

Least Common Multiple of 59,559,403 with GCF Formula

Least Common Multiple of 59,559,403 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 59,559,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,559,403) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(59,559,403) x common factors =1 x 13 = 13

LCM(59,559,403) = ( 59 × 559 × 403 ) / 13

LCM(59,559,403) = 13291343 / 13

LCM(59,559,403) = 1022411


Lets's calculate GCF of 86,42,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1022411/1

Therefore the LCM of Fractions 59/86,559/42,403/285 is 1022411

Greatest Common Factor of 86,42,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,42,285 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 86,42,285 . The biggest common factor number is the GCF number.
So the greatest common factor 86,42,285 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 59/86, 559/42, 403/285

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 59/86, 559/42, 403/285?

Answer: LCM of Numerators as per given numbers 59/86, 559/42, 403/285 is

LCM of Numerators i.e. for 59,559,403 is 1022411

GCF of denominators i.e. for 86,42,285 is 1.

Thus, LCM of Fractions is 1022411.Finally, LCM of Fractions for 59/86, 559/42, 403/285 is 1022411.