Least Common Multiple of 86/30, 59/38, 24/88, 52/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/30, 59/38, 24/88, 52/500 quickly i.e. 395772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/30, 59/38, 24/88, 52/500 is 395772.

LCM(86/30, 59/38, 24/88, 52/500) = 395772

LCM of 86/30, 59/38, 24/88, 52/500

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 86/30,59/38,24/88,52/500

Given numbers are 86/30,59/38,24/88,52/500

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 86,59,24,52

Least Common Multiple of Numerators i.e. LCM of 86,59,24,52 is 791544.

GCF of Denominators means GCF of 30,38,88,500 as per the given fractions.

GCF of 30,38,88,500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,59,24,52

LCM of Fractions 86/30,59/38,24/88,52/500 is 395772

2 86, 59, 24, 52
2 43, 59, 12, 26
43, 59, 6, 13

∴ So the LCM of the given numbers is 2 x 2 x 43 x 59 x 6 x 13 = 791544

Least Common Multiple of 86,59,24,52 with GCF Formula

Least Common Multiple of 86,59,24,52 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 86,59,24,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,59,24,52) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(86,59,24,52) x common factors =1 x 8 = 8

LCM(86,59,24,52) = ( 86 × 59 × 24 × 52 ) / 8

LCM(86,59,24,52) = 6332352 / 8

LCM(86,59,24,52) = 791544


Lets's calculate GCF of 30,38,88,500

2 30, 38, 88, 500
15, 19, 44, 250

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 791544/2

Therefore the LCM of Fractions 86/30,59/38,24/88,52/500 is 395772

Greatest Common Factor of 30,38,88,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,38,88,500 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 30,38,88,500 . The biggest common factor number is the GCF number.
So the greatest common factor 30,38,88,500 is 2.


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 86/30, 59/38, 24/88, 52/500

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 86/30, 59/38, 24/88, 52/500?

Answer: LCM of Numerators as per given numbers 86/30, 59/38, 24/88, 52/500 is

LCM of Numerators i.e. for 86,59,24,52 is 791544

GCF of denominators i.e. for 30,38,88,500 is 2.

Thus, LCM of Fractions is 395772.Finally, LCM of Fractions for 86/30, 59/38, 24/88, 52/500 is 395772.