Least Common Multiple of 18/97, 89/19, 22/88, 66/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/97, 89/19, 22/88, 66/326 quickly i.e. 17622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/97, 89/19, 22/88, 66/326 is 17622.

LCM(18/97, 89/19, 22/88, 66/326) = 17622

LCM of 18/97, 89/19, 22/88, 66/326

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 18/97,89/19,22/88,66/326

Given numbers are 18/97,89/19,22/88,66/326

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 18,89,22,66

Least Common Multiple of Numerators i.e. LCM of 18,89,22,66 is 17622.

GCF of Denominators means GCF of 97,19,88,326 as per the given fractions.

GCF of 97,19,88,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,89,22,66

LCM of Fractions 18/97,89/19,22/88,66/326 is 17622

2 18, 89, 22, 66
3 9, 89, 11, 33
11 3, 89, 11, 11
3, 89, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 89 x 1 x 1 = 17622

Least Common Multiple of 18,89,22,66 with GCF Formula

Least Common Multiple of 18,89,22,66 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 18,89,22,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,89,22,66) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(18,89,22,66) x common factors =1 x 132 = 132

LCM(18,89,22,66) = ( 18 × 89 × 22 × 66 ) / 132

LCM(18,89,22,66) = 2326104 / 132

LCM(18,89,22,66) = 17622


Lets's calculate GCF of 97,19,88,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17622/1

Therefore the LCM of Fractions 18/97,89/19,22/88,66/326 is 17622

Greatest Common Factor of 97,19,88,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,19,88,326 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 97,19,88,326 . The biggest common factor number is the GCF number.
So the greatest common factor 97,19,88,326 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 18/97, 89/19, 22/88, 66/326

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 18/97, 89/19, 22/88, 66/326?

Answer: LCM of Numerators as per given numbers 18/97, 89/19, 22/88, 66/326 is

LCM of Numerators i.e. for 18,89,22,66 is 17622

GCF of denominators i.e. for 97,19,88,326 is 1.

Thus, LCM of Fractions is 17622.Finally, LCM of Fractions for 18/97, 89/19, 22/88, 66/326 is 17622.