Least Common Multiple of 18/539, 689/682, 986/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/539, 689/682, 986/600 quickly i.e. 6114186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/539, 689/682, 986/600 is 6114186.

LCM(18/539, 689/682, 986/600) = 6114186

LCM of 18/539, 689/682, 986/600

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 18/539,689/682,986/600

Given numbers are 18/539,689/682,986/600

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 18,689,986

Least Common Multiple of Numerators i.e. LCM of 18,689,986 is 6114186.

GCF of Denominators means GCF of 539,682,600 as per the given fractions.

GCF of 539,682,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,689,986

LCM of Fractions 18/539,689/682,986/600 is 6114186

2 18, 689, 986
9, 689, 493

∴ So the LCM of the given numbers is 2 x 9 x 689 x 493 = 6114186

Least Common Multiple of 18,689,986 with GCF Formula

Least Common Multiple of 18,689,986 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 18,689,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,689,986) = 1

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

GCF(18,689,986) x common factors =1 x 2 = 2

LCM(18,689,986) = ( 18 × 689 × 986 ) / 2

LCM(18,689,986) = 12228372 / 2

LCM(18,689,986) = 6114186


Lets's calculate GCF of 539,682,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6114186/1

Therefore the LCM of Fractions 18/539,689/682,986/600 is 6114186

Greatest Common Factor of 539,682,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,682,600 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 539,682,600 . The biggest common factor number is the GCF number.
So the greatest common factor 539,682,600 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 18/539, 689/682, 986/600

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 18/539, 689/682, 986/600?

Answer: LCM of Numerators as per given numbers 18/539, 689/682, 986/600 is

LCM of Numerators i.e. for 18,689,986 is 6114186

GCF of denominators i.e. for 539,682,600 is 1.

Thus, LCM of Fractions is 6114186.Finally, LCM of Fractions for 18/539, 689/682, 986/600 is 6114186.