Least Common Multiple of 87/265, 93/860, 522/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/265, 93/860, 522/616 quickly i.e. 16182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/265, 93/860, 522/616 is 16182.

LCM(87/265, 93/860, 522/616) = 16182

LCM of 87/265, 93/860, 522/616

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 87/265,93/860,522/616

Given numbers are 87/265,93/860,522/616

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 87,93,522

Least Common Multiple of Numerators i.e. LCM of 87,93,522 is 16182.

GCF of Denominators means GCF of 265,860,616 as per the given fractions.

GCF of 265,860,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,93,522

LCM of Fractions 87/265,93/860,522/616 is 16182

3 87, 93, 522
29 29, 31, 174
1, 31, 6

∴ So the LCM of the given numbers is 3 x 29 x 1 x 31 x 6 = 16182

Least Common Multiple of 87,93,522 with GCF Formula

Least Common Multiple of 87,93,522 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 87,93,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,93,522) = 3

common factors(in case of two or more numbers have common factors) = 87

GCF(87,93,522) x common factors =3 x 87 = 261

LCM(87,93,522) = ( 87 × 93 × 522 ) / 261

LCM(87,93,522) = 4223502 / 261

LCM(87,93,522) = 16182


Lets's calculate GCF of 265,860,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16182/1

Therefore the LCM of Fractions 87/265,93/860,522/616 is 16182

Greatest Common Factor of 265,860,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,860,616 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 265,860,616 . The biggest common factor number is the GCF number.
So the greatest common factor 265,860,616 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 87/265, 93/860, 522/616

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 87/265, 93/860, 522/616?

Answer: LCM of Numerators as per given numbers 87/265, 93/860, 522/616 is

LCM of Numerators i.e. for 87,93,522 is 16182

GCF of denominators i.e. for 265,860,616 is 1.

Thus, LCM of Fractions is 16182.Finally, LCM of Fractions for 87/265, 93/860, 522/616 is 16182.