Least Common Multiple of 40/20, 65/54, 587/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/20, 65/54, 587/296 quickly i.e. 152620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/20, 65/54, 587/296 is 152620.

LCM(40/20, 65/54, 587/296) = 152620

LCM of 40/20, 65/54, 587/296

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 40/20,65/54,587/296

Given numbers are 40/20,65/54,587/296

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 40,65,587

Least Common Multiple of Numerators i.e. LCM of 40,65,587 is 305240.

GCF of Denominators means GCF of 20,54,296 as per the given fractions.

GCF of 20,54,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,65,587

LCM of Fractions 40/20,65/54,587/296 is 152620

5 40, 65, 587
8, 13, 587

∴ So the LCM of the given numbers is 5 x 8 x 13 x 587 = 305240

Least Common Multiple of 40,65,587 with GCF Formula

Least Common Multiple of 40,65,587 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 40,65,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,65,587) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(40,65,587) x common factors =1 x 5 = 5

LCM(40,65,587) = ( 40 × 65 × 587 ) / 5

LCM(40,65,587) = 1526200 / 5

LCM(40,65,587) = 305240


Lets's calculate GCF of 20,54,296

2 20, 54, 296
10, 27, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305240/2

Therefore the LCM of Fractions 40/20,65/54,587/296 is 152620

Greatest Common Factor of 20,54,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,54,296 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 296

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

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

Greatest Common Factor

We found the factors 20,54,296 . The biggest common factor number is the GCF number.
So the greatest common factor 20,54,296 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 40/20, 65/54, 587/296

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 40/20, 65/54, 587/296?

Answer: LCM of Numerators as per given numbers 40/20, 65/54, 587/296 is

LCM of Numerators i.e. for 40,65,587 is 305240

GCF of denominators i.e. for 20,54,296 is 2.

Thus, LCM of Fractions is 152620.Finally, LCM of Fractions for 40/20, 65/54, 587/296 is 152620.