Least Common Multiple of 69/885, 76/243, 441/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/885, 76/243, 441/856 quickly i.e. 770868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/885, 76/243, 441/856 is 770868.

LCM(69/885, 76/243, 441/856) = 770868

LCM of 69/885, 76/243, 441/856

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 69/885,76/243,441/856

Given numbers are 69/885,76/243,441/856

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 69,76,441

Least Common Multiple of Numerators i.e. LCM of 69,76,441 is 770868.

GCF of Denominators means GCF of 885,243,856 as per the given fractions.

GCF of 885,243,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,76,441

LCM of Fractions 69/885,76/243,441/856 is 770868

3 69, 76, 441
23, 76, 147

∴ So the LCM of the given numbers is 3 x 23 x 76 x 147 = 770868

Least Common Multiple of 69,76,441 with GCF Formula

Least Common Multiple of 69,76,441 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 69,76,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,76,441) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,76,441) x common factors =1 x 3 = 3

LCM(69,76,441) = ( 69 × 76 × 441 ) / 3

LCM(69,76,441) = 2312604 / 3

LCM(69,76,441) = 770868


Lets's calculate GCF of 885,243,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770868/1

Therefore the LCM of Fractions 69/885,76/243,441/856 is 770868

Greatest Common Factor of 885,243,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,243,856 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 885,243,856 . The biggest common factor number is the GCF number.
So the greatest common factor 885,243,856 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 69/885, 76/243, 441/856

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 69/885, 76/243, 441/856?

Answer: LCM of Numerators as per given numbers 69/885, 76/243, 441/856 is

LCM of Numerators i.e. for 69,76,441 is 770868

GCF of denominators i.e. for 885,243,856 is 1.

Thus, LCM of Fractions is 770868.Finally, LCM of Fractions for 69/885, 76/243, 441/856 is 770868.