Least Common Multiple of 878/81, 8672/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/81, 8672/405 quickly i.e. 3807008/81 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/81, 8672/405 is 3807008/81.

LCM(878/81, 8672/405) = 3807008/81

LCM of 878/81, 8672/405

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 878/81,8672/405

Given numbers are 878/81,8672/405

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 878,8672

Least Common Multiple of Numerators i.e. LCM of 878,8672 is 3807008.

GCF of Denominators means GCF of 81,405 as per the given fractions.

GCF of 81,405 is 81 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,8672

LCM of Fractions 878/81,8672/405 is 3807008/81

2 878, 8672
439, 4336

∴ So the LCM of the given numbers is 2 x 439 x 4336 = 3807008

Least Common Multiple of 878,8672 with GCF Formula

Least Common Multiple of 878,8672 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 878,8672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,8672) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(878,8672) x common factors =2 x 1 = 2

LCM(878,8672) = ( 878 × 8672 ) / 2

LCM(878,8672) = 7614016 / 2

LCM(878,8672) = 3807008


Lets's calculate GCF of 81,405

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

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3807008/81

Therefore the LCM of Fractions 878/81,8672/405 is 3807008/81

Greatest Common Factor of 81,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,405 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

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

Greatest Common Factor

We found the factors 81,405 . The biggest common factor number is the GCF number.
So the greatest common factor 81,405 is 81.


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 878/81, 8672/405

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 878/81, 8672/405?

Answer: LCM of Numerators as per given numbers 878/81, 8672/405 is

LCM of Numerators i.e. for 878,8672 is 3807008

GCF of denominators i.e. for 81,405 is 81.

Thus, LCM of Fractions is 3807008/81.Finally, LCM of Fractions for 878/81, 8672/405 is 3807008/81.