Least Common Multiple of 40/787, 65/381, 943/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/787, 65/381, 943/481 quickly i.e. 490360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/787, 65/381, 943/481 is 490360.

LCM(40/787, 65/381, 943/481) = 490360

LCM of 40/787, 65/381, 943/481

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 40/787,65/381,943/481

Given numbers are 40/787,65/381,943/481

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 40,65,943

Least Common Multiple of Numerators i.e. LCM of 40,65,943 is 490360.

GCF of Denominators means GCF of 787,381,481 as per the given fractions.

GCF of 787,381,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,65,943

LCM of Fractions 40/787,65/381,943/481 is 490360

5 40, 65, 943
8, 13, 943

∴ So the LCM of the given numbers is 5 x 8 x 13 x 943 = 490360

Least Common Multiple of 40,65,943 with GCF Formula

Least Common Multiple of 40,65,943 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 40,65,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,65,943) = 1

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

GCF(40,65,943) x common factors =1 x 5 = 5

LCM(40,65,943) = ( 40 × 65 × 943 ) / 5

LCM(40,65,943) = 2451800 / 5

LCM(40,65,943) = 490360


Lets's calculate GCF of 787,381,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490360/1

Therefore the LCM of Fractions 40/787,65/381,943/481 is 490360

Greatest Common Factor of 787,381,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,381,481 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 787,381,481 . The biggest common factor number is the GCF number.
So the greatest common factor 787,381,481 is 1.


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 40/787, 65/381, 943/481

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 40/787, 65/381, 943/481?

Answer: LCM of Numerators as per given numbers 40/787, 65/381, 943/481 is

LCM of Numerators i.e. for 40,65,943 is 490360

GCF of denominators i.e. for 787,381,481 is 1.

Thus, LCM of Fractions is 490360.Finally, LCM of Fractions for 40/787, 65/381, 943/481 is 490360.