Least Common Multiple of 40/843, 40/519, 886/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/843, 40/519, 886/944 quickly i.e. 17720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/843, 40/519, 886/944 is 17720.

LCM(40/843, 40/519, 886/944) = 17720

LCM of 40/843, 40/519, 886/944

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 40/843,40/519,886/944

Given numbers are 40/843,40/519,886/944

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 40,40,886

Least Common Multiple of Numerators i.e. LCM of 40,40,886 is 17720.

GCF of Denominators means GCF of 843,519,944 as per the given fractions.

GCF of 843,519,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,40,886

LCM of Fractions 40/843,40/519,886/944 is 17720

2 40, 40, 886
2 20, 20, 443
2 10, 10, 443
5 5, 5, 443
1, 1, 443

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 443 = 17720

Least Common Multiple of 40,40,886 with GCF Formula

Least Common Multiple of 40,40,886 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 40,40,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,40,886) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(40,40,886) x common factors =2 x 40 = 80

LCM(40,40,886) = ( 40 × 40 × 886 ) / 80

LCM(40,40,886) = 1417600 / 80

LCM(40,40,886) = 17720


Lets's calculate GCF of 843,519,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17720/1

Therefore the LCM of Fractions 40/843,40/519,886/944 is 17720

Greatest Common Factor of 843,519,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,519,944 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 843,519,944 . The biggest common factor number is the GCF number.
So the greatest common factor 843,519,944 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 40/843, 40/519, 886/944

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 40/843, 40/519, 886/944?

Answer: LCM of Numerators as per given numbers 40/843, 40/519, 886/944 is

LCM of Numerators i.e. for 40,40,886 is 17720

GCF of denominators i.e. for 843,519,944 is 1.

Thus, LCM of Fractions is 17720.Finally, LCM of Fractions for 40/843, 40/519, 886/944 is 17720.