Least Common Multiple of 84/405, 40/846, 533/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/405, 40/846, 533/879 quickly i.e. 149240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/405, 40/846, 533/879 is 149240.

LCM(84/405, 40/846, 533/879) = 149240

LCM of 84/405, 40/846, 533/879

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 84/405,40/846,533/879

Given numbers are 84/405,40/846,533/879

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 84,40,533

Least Common Multiple of Numerators i.e. LCM of 84,40,533 is 447720.

GCF of Denominators means GCF of 405,846,879 as per the given fractions.

GCF of 405,846,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,40,533

LCM of Fractions 84/405,40/846,533/879 is 149240

2 84, 40, 533
2 42, 20, 533
21, 10, 533

∴ So the LCM of the given numbers is 2 x 2 x 21 x 10 x 533 = 447720

Least Common Multiple of 84,40,533 with GCF Formula

Least Common Multiple of 84,40,533 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 84,40,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,40,533) = 1

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

GCF(84,40,533) x common factors =1 x 4 = 4

LCM(84,40,533) = ( 84 × 40 × 533 ) / 4

LCM(84,40,533) = 1790880 / 4

LCM(84,40,533) = 447720


Lets's calculate GCF of 405,846,879

3 405, 846, 879
135, 282, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447720/3

Therefore the LCM of Fractions 84/405,40/846,533/879 is 149240

Greatest Common Factor of 405,846,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,846,879 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 405,846,879 . The biggest common factor number is the GCF number.
So the greatest common factor 405,846,879 is 3.


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 84/405, 40/846, 533/879

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 84/405, 40/846, 533/879?

Answer: LCM of Numerators as per given numbers 84/405, 40/846, 533/879 is

LCM of Numerators i.e. for 84,40,533 is 447720

GCF of denominators i.e. for 405,846,879 is 3.

Thus, LCM of Fractions is 149240.Finally, LCM of Fractions for 84/405, 40/846, 533/879 is 149240.