Least Common Multiple of 86/532, 15/958, 286/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/532, 15/958, 286/506 quickly i.e. 92235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/532, 15/958, 286/506 is 92235.

LCM(86/532, 15/958, 286/506) = 92235

LCM of 86/532, 15/958, 286/506

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 86/532,15/958,286/506

Given numbers are 86/532,15/958,286/506

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 86,15,286

Least Common Multiple of Numerators i.e. LCM of 86,15,286 is 184470.

GCF of Denominators means GCF of 532,958,506 as per the given fractions.

GCF of 532,958,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,15,286

LCM of Fractions 86/532,15/958,286/506 is 92235

2 86, 15, 286
43, 15, 143

∴ So the LCM of the given numbers is 2 x 43 x 15 x 143 = 184470

Least Common Multiple of 86,15,286 with GCF Formula

Least Common Multiple of 86,15,286 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 86,15,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,15,286) = 1

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

GCF(86,15,286) x common factors =1 x 2 = 2

LCM(86,15,286) = ( 86 × 15 × 286 ) / 2

LCM(86,15,286) = 368940 / 2

LCM(86,15,286) = 184470


Lets's calculate GCF of 532,958,506

2 532, 958, 506
266, 479, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184470/2

Therefore the LCM of Fractions 86/532,15/958,286/506 is 92235

Greatest Common Factor of 532,958,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,958,506 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 532,958,506 . The biggest common factor number is the GCF number.
So the greatest common factor 532,958,506 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 86/532, 15/958, 286/506

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 86/532, 15/958, 286/506?

Answer: LCM of Numerators as per given numbers 86/532, 15/958, 286/506 is

LCM of Numerators i.e. for 86,15,286 is 184470

GCF of denominators i.e. for 532,958,506 is 2.

Thus, LCM of Fractions is 92235.Finally, LCM of Fractions for 86/532, 15/958, 286/506 is 92235.