Least Common Multiple of 18/89, 691/17, 655/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/89, 691/17, 655/584 quickly i.e. 8146890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/89, 691/17, 655/584 is 8146890.

LCM(18/89, 691/17, 655/584) = 8146890

LCM of 18/89, 691/17, 655/584

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 18/89,691/17,655/584

Given numbers are 18/89,691/17,655/584

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 18,691,655

Least Common Multiple of Numerators i.e. LCM of 18,691,655 is 8146890.

GCF of Denominators means GCF of 89,17,584 as per the given fractions.

GCF of 89,17,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,691,655

LCM of Fractions 18/89,691/17,655/584 is 8146890

Given numbers has no common factors except 1. So, there LCM is their product i.e 8146890

Least Common Multiple of 18,691,655 with GCF Formula

Least Common Multiple of 18,691,655 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 18,691,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,691,655) = 1

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

GCF(18,691,655) x common factors =1 x 1 = 1

LCM(18,691,655) = ( 18 × 691 × 655 ) / 1

LCM(18,691,655) = 8146890 / 1

LCM(18,691,655) = 8146890


Lets's calculate GCF of 89,17,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8146890/1

Therefore the LCM of Fractions 18/89,691/17,655/584 is 8146890

Greatest Common Factor of 89,17,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,17,584 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 89,17,584 . The biggest common factor number is the GCF number.
So the greatest common factor 89,17,584 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/89, 691/17, 655/584

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 18/89, 691/17, 655/584?

Answer: LCM of Numerators as per given numbers 18/89, 691/17, 655/584 is

LCM of Numerators i.e. for 18,691,655 is 8146890

GCF of denominators i.e. for 89,17,584 is 1.

Thus, LCM of Fractions is 8146890.Finally, LCM of Fractions for 18/89, 691/17, 655/584 is 8146890.