Least Common Multiple of 87/586, 696/555, 398/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/586, 696/555, 398/241 quickly i.e. 138504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/586, 696/555, 398/241 is 138504.

LCM(87/586, 696/555, 398/241) = 138504

LCM of 87/586, 696/555, 398/241

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 87/586,696/555,398/241

Given numbers are 87/586,696/555,398/241

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 87,696,398

Least Common Multiple of Numerators i.e. LCM of 87,696,398 is 138504.

GCF of Denominators means GCF of 586,555,241 as per the given fractions.

GCF of 586,555,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,696,398

LCM of Fractions 87/586,696/555,398/241 is 138504

2 87, 696, 398
3 87, 348, 199
29 29, 116, 199
1, 4, 199

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 4 x 199 = 138504

Least Common Multiple of 87,696,398 with GCF Formula

Least Common Multiple of 87,696,398 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 87,696,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,696,398) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(87,696,398) x common factors =1 x 174 = 174

LCM(87,696,398) = ( 87 × 696 × 398 ) / 174

LCM(87,696,398) = 24099696 / 174

LCM(87,696,398) = 138504


Lets's calculate GCF of 586,555,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138504/1

Therefore the LCM of Fractions 87/586,696/555,398/241 is 138504

Greatest Common Factor of 586,555,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,555,241 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

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 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 586,555,241 . The biggest common factor number is the GCF number.
So the greatest common factor 586,555,241 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 87/586, 696/555, 398/241

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 87/586, 696/555, 398/241?

Answer: LCM of Numerators as per given numbers 87/586, 696/555, 398/241 is

LCM of Numerators i.e. for 87,696,398 is 138504

GCF of denominators i.e. for 586,555,241 is 1.

Thus, LCM of Fractions is 138504.Finally, LCM of Fractions for 87/586, 696/555, 398/241 is 138504.