Least Common Multiple of 18/895, 69/120, 291/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/895, 69/120, 291/823 quickly i.e. 40158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/895, 69/120, 291/823 is 40158.

LCM(18/895, 69/120, 291/823) = 40158

LCM of 18/895, 69/120, 291/823

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 18/895,69/120,291/823

Given numbers are 18/895,69/120,291/823

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 18,69,291

Least Common Multiple of Numerators i.e. LCM of 18,69,291 is 40158.

GCF of Denominators means GCF of 895,120,823 as per the given fractions.

GCF of 895,120,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,69,291

LCM of Fractions 18/895,69/120,291/823 is 40158

3 18, 69, 291
6, 23, 97

∴ So the LCM of the given numbers is 3 x 6 x 23 x 97 = 40158

Least Common Multiple of 18,69,291 with GCF Formula

Least Common Multiple of 18,69,291 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 18,69,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,69,291) = 3

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

GCF(18,69,291) x common factors =3 x 3 = 9

LCM(18,69,291) = ( 18 × 69 × 291 ) / 9

LCM(18,69,291) = 361422 / 9

LCM(18,69,291) = 40158


Lets's calculate GCF of 895,120,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40158/1

Therefore the LCM of Fractions 18/895,69/120,291/823 is 40158

Greatest Common Factor of 895,120,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,120,823 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 895,120,823 . The biggest common factor number is the GCF number.
So the greatest common factor 895,120,823 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 18/895, 69/120, 291/823

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 18/895, 69/120, 291/823?

Answer: LCM of Numerators as per given numbers 18/895, 69/120, 291/823 is

LCM of Numerators i.e. for 18,69,291 is 40158

GCF of denominators i.e. for 895,120,823 is 1.

Thus, LCM of Fractions is 40158.Finally, LCM of Fractions for 18/895, 69/120, 291/823 is 40158.