Least Common Multiple of 905/71, 165/38, 854/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 905/71, 165/38, 854/882 quickly i.e. 25504710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 905/71, 165/38, 854/882 is 25504710.

LCM(905/71, 165/38, 854/882) = 25504710

LCM of 905/71, 165/38, 854/882

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 905/71,165/38,854/882

Given numbers are 905/71,165/38,854/882

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 905,165,854

Least Common Multiple of Numerators i.e. LCM of 905,165,854 is 25504710.

GCF of Denominators means GCF of 71,38,882 as per the given fractions.

GCF of 71,38,882 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 905,165,854

LCM of Fractions 905/71,165/38,854/882 is 25504710

5 905, 165, 854
181, 33, 854

∴ So the LCM of the given numbers is 5 x 181 x 33 x 854 = 25504710

Least Common Multiple of 905,165,854 with GCF Formula

Least Common Multiple of 905,165,854 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 905,165,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,165,854) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(905,165,854) x common factors =1 x 5 = 5

LCM(905,165,854) = ( 905 × 165 × 854 ) / 5

LCM(905,165,854) = 127523550 / 5

LCM(905,165,854) = 25504710


Lets's calculate GCF of 71,38,882

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25504710/1

Therefore the LCM of Fractions 905/71,165/38,854/882 is 25504710

Greatest Common Factor of 71,38,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,38,882 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 71,38,882 . The biggest common factor number is the GCF number.
So the greatest common factor 71,38,882 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 905/71, 165/38, 854/882

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 905/71, 165/38, 854/882?

Answer: LCM of Numerators as per given numbers 905/71, 165/38, 854/882 is

LCM of Numerators i.e. for 905,165,854 is 25504710

GCF of denominators i.e. for 71,38,882 is 1.

Thus, LCM of Fractions is 25504710.Finally, LCM of Fractions for 905/71, 165/38, 854/882 is 25504710.