Least Common Multiple of 87/566, 216/894, 408/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/566, 216/894, 408/739 quickly i.e. 106488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/566, 216/894, 408/739 is 106488.

LCM(87/566, 216/894, 408/739) = 106488

LCM of 87/566, 216/894, 408/739

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 87/566,216/894,408/739

Given numbers are 87/566,216/894,408/739

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 87,216,408

Least Common Multiple of Numerators i.e. LCM of 87,216,408 is 106488.

GCF of Denominators means GCF of 566,894,739 as per the given fractions.

GCF of 566,894,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,216,408

LCM of Fractions 87/566,216/894,408/739 is 106488

2 87, 216, 408
2 87, 108, 204
2 87, 54, 102
3 87, 27, 51
29, 9, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 9 x 17 = 106488

Least Common Multiple of 87,216,408 with GCF Formula

Least Common Multiple of 87,216,408 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 87,216,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,216,408) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(87,216,408) x common factors =3 x 24 = 72

LCM(87,216,408) = ( 87 × 216 × 408 ) / 72

LCM(87,216,408) = 7667136 / 72

LCM(87,216,408) = 106488


Lets's calculate GCF of 566,894,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106488/1

Therefore the LCM of Fractions 87/566,216/894,408/739 is 106488

Greatest Common Factor of 566,894,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,894,739 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 566,894,739 . The biggest common factor number is the GCF number.
So the greatest common factor 566,894,739 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 87/566, 216/894, 408/739

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 87/566, 216/894, 408/739?

Answer: LCM of Numerators as per given numbers 87/566, 216/894, 408/739 is

LCM of Numerators i.e. for 87,216,408 is 106488

GCF of denominators i.e. for 566,894,739 is 1.

Thus, LCM of Fractions is 106488.Finally, LCM of Fractions for 87/566, 216/894, 408/739 is 106488.