Least Common Multiple of 87/384, 15/839, 495/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/384, 15/839, 495/562 quickly i.e. 14355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/384, 15/839, 495/562 is 14355.

LCM(87/384, 15/839, 495/562) = 14355

LCM of 87/384, 15/839, 495/562

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 87/384,15/839,495/562

Given numbers are 87/384,15/839,495/562

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 87,15,495

Least Common Multiple of Numerators i.e. LCM of 87,15,495 is 14355.

GCF of Denominators means GCF of 384,839,562 as per the given fractions.

GCF of 384,839,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,15,495

LCM of Fractions 87/384,15/839,495/562 is 14355

3 87, 15, 495
5 29, 5, 165
29, 1, 33

∴ So the LCM of the given numbers is 3 x 5 x 29 x 1 x 33 = 14355

Least Common Multiple of 87,15,495 with GCF Formula

Least Common Multiple of 87,15,495 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 87,15,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,15,495) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(87,15,495) x common factors =3 x 15 = 45

LCM(87,15,495) = ( 87 × 15 × 495 ) / 45

LCM(87,15,495) = 645975 / 45

LCM(87,15,495) = 14355


Lets's calculate GCF of 384,839,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14355/1

Therefore the LCM of Fractions 87/384,15/839,495/562 is 14355

Greatest Common Factor of 384,839,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,839,562 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 384,839,562 . The biggest common factor number is the GCF number.
So the greatest common factor 384,839,562 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 87/384, 15/839, 495/562

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 87/384, 15/839, 495/562?

Answer: LCM of Numerators as per given numbers 87/384, 15/839, 495/562 is

LCM of Numerators i.e. for 87,15,495 is 14355

GCF of denominators i.e. for 384,839,562 is 1.

Thus, LCM of Fractions is 14355.Finally, LCM of Fractions for 87/384, 15/839, 495/562 is 14355.