Least Common Multiple of 41/387, 20/933, 956/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/387, 20/933, 956/784 quickly i.e. 195980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/387, 20/933, 956/784 is 195980.

LCM(41/387, 20/933, 956/784) = 195980

LCM of 41/387, 20/933, 956/784

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 41/387,20/933,956/784

Given numbers are 41/387,20/933,956/784

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 41,20,956

Least Common Multiple of Numerators i.e. LCM of 41,20,956 is 195980.

GCF of Denominators means GCF of 387,933,784 as per the given fractions.

GCF of 387,933,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,20,956

LCM of Fractions 41/387,20/933,956/784 is 195980

2 41, 20, 956
2 41, 10, 478
41, 5, 239

∴ So the LCM of the given numbers is 2 x 2 x 41 x 5 x 239 = 195980

Least Common Multiple of 41,20,956 with GCF Formula

Least Common Multiple of 41,20,956 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 41,20,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,20,956) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,20,956) x common factors =1 x 4 = 4

LCM(41,20,956) = ( 41 × 20 × 956 ) / 4

LCM(41,20,956) = 783920 / 4

LCM(41,20,956) = 195980


Lets's calculate GCF of 387,933,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195980/1

Therefore the LCM of Fractions 41/387,20/933,956/784 is 195980

Greatest Common Factor of 387,933,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,933,784 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 387,933,784 . The biggest common factor number is the GCF number.
So the greatest common factor 387,933,784 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 41/387, 20/933, 956/784

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 41/387, 20/933, 956/784?

Answer: LCM of Numerators as per given numbers 41/387, 20/933, 956/784 is

LCM of Numerators i.e. for 41,20,956 is 195980

GCF of denominators i.e. for 387,933,784 is 1.

Thus, LCM of Fractions is 195980.Finally, LCM of Fractions for 41/387, 20/933, 956/784 is 195980.