Least Common Multiple of 818/59, 258/26, 987/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/59, 258/26, 987/321 quickly i.e. 34716738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/59, 258/26, 987/321 is 34716738.

LCM(818/59, 258/26, 987/321) = 34716738

LCM of 818/59, 258/26, 987/321

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 818/59,258/26,987/321

Given numbers are 818/59,258/26,987/321

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 818,258,987

Least Common Multiple of Numerators i.e. LCM of 818,258,987 is 34716738.

GCF of Denominators means GCF of 59,26,321 as per the given fractions.

GCF of 59,26,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,258,987

LCM of Fractions 818/59,258/26,987/321 is 34716738

2 818, 258, 987
3 409, 129, 987
409, 43, 329

∴ So the LCM of the given numbers is 2 x 3 x 409 x 43 x 329 = 34716738

Least Common Multiple of 818,258,987 with GCF Formula

Least Common Multiple of 818,258,987 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 818,258,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,258,987) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(818,258,987) x common factors =1 x 6 = 6

LCM(818,258,987) = ( 818 × 258 × 987 ) / 6

LCM(818,258,987) = 208300428 / 6

LCM(818,258,987) = 34716738


Lets's calculate GCF of 59,26,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34716738/1

Therefore the LCM of Fractions 818/59,258/26,987/321 is 34716738

Greatest Common Factor of 59,26,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,26,321 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 59,26,321 . The biggest common factor number is the GCF number.
So the greatest common factor 59,26,321 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 818/59, 258/26, 987/321

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 818/59, 258/26, 987/321?

Answer: LCM of Numerators as per given numbers 818/59, 258/26, 987/321 is

LCM of Numerators i.e. for 818,258,987 is 34716738

GCF of denominators i.e. for 59,26,321 is 1.

Thus, LCM of Fractions is 34716738.Finally, LCM of Fractions for 818/59, 258/26, 987/321 is 34716738.