Least Common Multiple of 810/23, 865/8694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/23, 865/8694 quickly i.e. 140130/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/23, 865/8694 is 140130/23.

LCM(810/23, 865/8694) = 140130/23

LCM of 810/23, 865/8694

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 810/23,865/8694

Given numbers are 810/23,865/8694

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 810,865

Least Common Multiple of Numerators i.e. LCM of 810,865 is 140130.

GCF of Denominators means GCF of 23,8694 as per the given fractions.

GCF of 23,8694 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,865

LCM of Fractions 810/23,865/8694 is 140130/23

5 810, 865
162, 173

∴ So the LCM of the given numbers is 5 x 162 x 173 = 140130

Least Common Multiple of 810,865 with GCF Formula

Least Common Multiple of 810,865 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 810,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,865) = 5

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

GCF(810,865) x common factors =5 x 1 = 5

LCM(810,865) = ( 810 × 865 ) / 5

LCM(810,865) = 700650 / 5

LCM(810,865) = 140130


Lets's calculate GCF of 23,8694

23 23, 8694
1, 378

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140130/23

Therefore the LCM of Fractions 810/23,865/8694 is 140130/23

Greatest Common Factor of 23,8694 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,8694 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 8694

List of positive integer factors of 8694 that divides 8694 without a remainder.

1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694

Greatest Common Factor

We found the factors 23,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 23,8694 is 23.


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 810/23, 865/8694

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 810/23, 865/8694?

Answer: LCM of Numerators as per given numbers 810/23, 865/8694 is

LCM of Numerators i.e. for 810,865 is 140130

GCF of denominators i.e. for 23,8694 is 23.

Thus, LCM of Fractions is 140130/23.Finally, LCM of Fractions for 810/23, 865/8694 is 140130/23.