Least Common Multiple of 86/500, 57/864, 340/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/500, 57/864, 340/170 quickly i.e. 416670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/500, 57/864, 340/170 is 416670.

LCM(86/500, 57/864, 340/170) = 416670

LCM of 86/500, 57/864, 340/170

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 86/500,57/864,340/170

Given numbers are 86/500,57/864,340/170

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 86,57,340

Least Common Multiple of Numerators i.e. LCM of 86,57,340 is 833340.

GCF of Denominators means GCF of 500,864,170 as per the given fractions.

GCF of 500,864,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,57,340

LCM of Fractions 86/500,57/864,340/170 is 416670

2 86, 57, 340
43, 57, 170

∴ So the LCM of the given numbers is 2 x 43 x 57 x 170 = 833340

Least Common Multiple of 86,57,340 with GCF Formula

Least Common Multiple of 86,57,340 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 86,57,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,57,340) = 1

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

GCF(86,57,340) x common factors =1 x 2 = 2

LCM(86,57,340) = ( 86 × 57 × 340 ) / 2

LCM(86,57,340) = 1666680 / 2

LCM(86,57,340) = 833340


Lets's calculate GCF of 500,864,170

2 500, 864, 170
250, 432, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833340/2

Therefore the LCM of Fractions 86/500,57/864,340/170 is 416670

Greatest Common Factor of 500,864,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,864,170 By Matching Biggest Common Factor Method

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

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 500,864,170 . The biggest common factor number is the GCF number.
So the greatest common factor 500,864,170 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 86/500, 57/864, 340/170

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 86/500, 57/864, 340/170?

Answer: LCM of Numerators as per given numbers 86/500, 57/864, 340/170 is

LCM of Numerators i.e. for 86,57,340 is 833340

GCF of denominators i.e. for 500,864,170 is 2.

Thus, LCM of Fractions is 416670.Finally, LCM of Fractions for 86/500, 57/864, 340/170 is 416670.