Least Common Multiple of 11/590, 65/905, 732/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/590, 65/905, 732/706 quickly i.e. 523380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/590, 65/905, 732/706 is 523380.

LCM(11/590, 65/905, 732/706) = 523380

LCM of 11/590, 65/905, 732/706

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 11/590,65/905,732/706

Given numbers are 11/590,65/905,732/706

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 11,65,732

Least Common Multiple of Numerators i.e. LCM of 11,65,732 is 523380.

GCF of Denominators means GCF of 590,905,706 as per the given fractions.

GCF of 590,905,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,65,732

LCM of Fractions 11/590,65/905,732/706 is 523380

Given numbers has no common factors except 1. So, there LCM is their product i.e 523380

Least Common Multiple of 11,65,732 with GCF Formula

Least Common Multiple of 11,65,732 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 11,65,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,65,732) = 1

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

GCF(11,65,732) x common factors =1 x 1 = 1

LCM(11,65,732) = ( 11 × 65 × 732 ) / 1

LCM(11,65,732) = 523380 / 1

LCM(11,65,732) = 523380


Lets's calculate GCF of 590,905,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523380/1

Therefore the LCM of Fractions 11/590,65/905,732/706 is 523380

Greatest Common Factor of 590,905,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,905,706 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 590,905,706 . The biggest common factor number is the GCF number.
So the greatest common factor 590,905,706 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/590, 65/905, 732/706

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 11/590, 65/905, 732/706?

Answer: LCM of Numerators as per given numbers 11/590, 65/905, 732/706 is

LCM of Numerators i.e. for 11,65,732 is 523380

GCF of denominators i.e. for 590,905,706 is 1.

Thus, LCM of Fractions is 523380.Finally, LCM of Fractions for 11/590, 65/905, 732/706 is 523380.