Least Common Multiple of 588/20, 3590/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/20, 3590/756 quickly i.e. 263865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/20, 3590/756 is 263865.

LCM(588/20, 3590/756) = 263865

LCM of 588/20, 3590/756

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 588/20,3590/756

Given numbers are 588/20,3590/756

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 588,3590

Least Common Multiple of Numerators i.e. LCM of 588,3590 is 1055460.

GCF of Denominators means GCF of 20,756 as per the given fractions.

GCF of 20,756 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,3590

LCM of Fractions 588/20,3590/756 is 263865

2 588, 3590
294, 1795

∴ So the LCM of the given numbers is 2 x 294 x 1795 = 1055460

Least Common Multiple of 588,3590 with GCF Formula

Least Common Multiple of 588,3590 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 588,3590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,3590) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(588,3590) x common factors =2 x 1 = 2

LCM(588,3590) = ( 588 × 3590 ) / 2

LCM(588,3590) = 2110920 / 2

LCM(588,3590) = 1055460


Lets's calculate GCF of 20,756

2 20, 756
2 10, 378
5, 189

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055460/4

Therefore the LCM of Fractions 588/20,3590/756 is 263865

Greatest Common Factor of 20,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,756 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 20,756 . The biggest common factor number is the GCF number.
So the greatest common factor 20,756 is 4.


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 588/20, 3590/756

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 588/20, 3590/756?

Answer: LCM of Numerators as per given numbers 588/20, 3590/756 is

LCM of Numerators i.e. for 588,3590 is 1055460

GCF of denominators i.e. for 20,756 is 4.

Thus, LCM of Fractions is 263865.Finally, LCM of Fractions for 588/20, 3590/756 is 263865.