Least Common Multiple of 81/513, 10/903, 705/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/513, 10/903, 705/911 quickly i.e. 38070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/513, 10/903, 705/911 is 38070.

LCM(81/513, 10/903, 705/911) = 38070

LCM of 81/513, 10/903, 705/911

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 81/513,10/903,705/911

Given numbers are 81/513,10/903,705/911

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 81,10,705

Least Common Multiple of Numerators i.e. LCM of 81,10,705 is 38070.

GCF of Denominators means GCF of 513,903,911 as per the given fractions.

GCF of 513,903,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,10,705

LCM of Fractions 81/513,10/903,705/911 is 38070

3 81, 10, 705
5 27, 10, 235
27, 2, 47

∴ So the LCM of the given numbers is 3 x 5 x 27 x 2 x 47 = 38070

Least Common Multiple of 81,10,705 with GCF Formula

Least Common Multiple of 81,10,705 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 81,10,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,10,705) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(81,10,705) x common factors =1 x 15 = 15

LCM(81,10,705) = ( 81 × 10 × 705 ) / 15

LCM(81,10,705) = 571050 / 15

LCM(81,10,705) = 38070


Lets's calculate GCF of 513,903,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38070/1

Therefore the LCM of Fractions 81/513,10/903,705/911 is 38070

Greatest Common Factor of 513,903,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,903,911 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 513,903,911 . The biggest common factor number is the GCF number.
So the greatest common factor 513,903,911 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 81/513, 10/903, 705/911

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 81/513, 10/903, 705/911?

Answer: LCM of Numerators as per given numbers 81/513, 10/903, 705/911 is

LCM of Numerators i.e. for 81,10,705 is 38070

GCF of denominators i.e. for 513,903,911 is 1.

Thus, LCM of Fractions is 38070.Finally, LCM of Fractions for 81/513, 10/903, 705/911 is 38070.