Least Common Multiple of 39/555, 32/491, 987/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/555, 32/491, 987/600 quickly i.e. 410592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/555, 32/491, 987/600 is 410592.

LCM(39/555, 32/491, 987/600) = 410592

LCM of 39/555, 32/491, 987/600

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 39/555,32/491,987/600

Given numbers are 39/555,32/491,987/600

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 39,32,987

Least Common Multiple of Numerators i.e. LCM of 39,32,987 is 410592.

GCF of Denominators means GCF of 555,491,600 as per the given fractions.

GCF of 555,491,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,32,987

LCM of Fractions 39/555,32/491,987/600 is 410592

3 39, 32, 987
13, 32, 329

∴ So the LCM of the given numbers is 3 x 13 x 32 x 329 = 410592

Least Common Multiple of 39,32,987 with GCF Formula

Least Common Multiple of 39,32,987 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 39,32,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,32,987) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,32,987) x common factors =1 x 3 = 3

LCM(39,32,987) = ( 39 × 32 × 987 ) / 3

LCM(39,32,987) = 1231776 / 3

LCM(39,32,987) = 410592


Lets's calculate GCF of 555,491,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410592/1

Therefore the LCM of Fractions 39/555,32/491,987/600 is 410592

Greatest Common Factor of 555,491,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,491,600 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

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 555,491,600 . The biggest common factor number is the GCF number.
So the greatest common factor 555,491,600 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 39/555, 32/491, 987/600

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 39/555, 32/491, 987/600?

Answer: LCM of Numerators as per given numbers 39/555, 32/491, 987/600 is

LCM of Numerators i.e. for 39,32,987 is 410592

GCF of denominators i.e. for 555,491,600 is 1.

Thus, LCM of Fractions is 410592.Finally, LCM of Fractions for 39/555, 32/491, 987/600 is 410592.