Least Common Multiple of 40/396, 24/296, 561/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/396, 24/296, 561/802 quickly i.e. 11220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/396, 24/296, 561/802 is 11220.

LCM(40/396, 24/296, 561/802) = 11220

LCM of 40/396, 24/296, 561/802

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 40/396,24/296,561/802

Given numbers are 40/396,24/296,561/802

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 40,24,561

Least Common Multiple of Numerators i.e. LCM of 40,24,561 is 22440.

GCF of Denominators means GCF of 396,296,802 as per the given fractions.

GCF of 396,296,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,24,561

LCM of Fractions 40/396,24/296,561/802 is 11220

2 40, 24, 561
2 20, 12, 561
2 10, 6, 561
3 5, 3, 561
5, 1, 187

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 187 = 22440

Least Common Multiple of 40,24,561 with GCF Formula

Least Common Multiple of 40,24,561 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 40,24,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,24,561) = 1

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

GCF(40,24,561) x common factors =1 x 24 = 24

LCM(40,24,561) = ( 40 × 24 × 561 ) / 24

LCM(40,24,561) = 538560 / 24

LCM(40,24,561) = 22440


Lets's calculate GCF of 396,296,802

2 396, 296, 802
198, 148, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22440/2

Therefore the LCM of Fractions 40/396,24/296,561/802 is 11220

Greatest Common Factor of 396,296,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,296,802 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 396,296,802 . The biggest common factor number is the GCF number.
So the greatest common factor 396,296,802 is 2.


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 40/396, 24/296, 561/802

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 40/396, 24/296, 561/802?

Answer: LCM of Numerators as per given numbers 40/396, 24/296, 561/802 is

LCM of Numerators i.e. for 40,24,561 is 22440

GCF of denominators i.e. for 396,296,802 is 2.

Thus, LCM of Fractions is 11220.Finally, LCM of Fractions for 40/396, 24/296, 561/802 is 11220.