Least Common Multiple of 56/579, 71/216, 604/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/579, 71/216, 604/486 quickly i.e. 600376/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/579, 71/216, 604/486 is 600376/3.

LCM(56/579, 71/216, 604/486) = 600376/3

LCM of 56/579, 71/216, 604/486

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 56/579,71/216,604/486

Given numbers are 56/579,71/216,604/486

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 56,71,604

Least Common Multiple of Numerators i.e. LCM of 56,71,604 is 600376.

GCF of Denominators means GCF of 579,216,486 as per the given fractions.

GCF of 579,216,486 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,71,604

LCM of Fractions 56/579,71/216,604/486 is 600376/3

2 56, 71, 604
2 28, 71, 302
14, 71, 151

∴ So the LCM of the given numbers is 2 x 2 x 14 x 71 x 151 = 600376

Least Common Multiple of 56,71,604 with GCF Formula

Least Common Multiple of 56,71,604 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 56,71,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,71,604) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,71,604) x common factors =1 x 4 = 4

LCM(56,71,604) = ( 56 × 71 × 604 ) / 4

LCM(56,71,604) = 2401504 / 4

LCM(56,71,604) = 600376


Lets's calculate GCF of 579,216,486

3 579, 216, 486
193, 72, 162

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600376/3

Therefore the LCM of Fractions 56/579,71/216,604/486 is 600376/3

Greatest Common Factor of 579,216,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,216,486 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 579,216,486 . The biggest common factor number is the GCF number.
So the greatest common factor 579,216,486 is 3.


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 56/579, 71/216, 604/486

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 56/579, 71/216, 604/486?

Answer: LCM of Numerators as per given numbers 56/579, 71/216, 604/486 is

LCM of Numerators i.e. for 56,71,604 is 600376

GCF of denominators i.e. for 579,216,486 is 3.

Thus, LCM of Fractions is 600376/3.Finally, LCM of Fractions for 56/579, 71/216, 604/486 is 600376/3.