Least Common Multiple of 123/81, 359/45, 290/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/81, 359/45, 290/164 quickly i.e. 12805530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/81, 359/45, 290/164 is 12805530.

LCM(123/81, 359/45, 290/164) = 12805530

LCM of 123/81, 359/45, 290/164

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 123/81,359/45,290/164

Given numbers are 123/81,359/45,290/164

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 123,359,290

Least Common Multiple of Numerators i.e. LCM of 123,359,290 is 12805530.

GCF of Denominators means GCF of 81,45,164 as per the given fractions.

GCF of 81,45,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,359,290

LCM of Fractions 123/81,359/45,290/164 is 12805530

Given numbers has no common factors except 1. So, there LCM is their product i.e 12805530

Least Common Multiple of 123,359,290 with GCF Formula

Least Common Multiple of 123,359,290 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 123,359,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,359,290) = 1

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

GCF(123,359,290) x common factors =1 x 1 = 1

LCM(123,359,290) = ( 123 × 359 × 290 ) / 1

LCM(123,359,290) = 12805530 / 1

LCM(123,359,290) = 12805530


Lets's calculate GCF of 81,45,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12805530/1

Therefore the LCM of Fractions 123/81,359/45,290/164 is 12805530

Greatest Common Factor of 81,45,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,45,164 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 81,45,164 . The biggest common factor number is the GCF number.
So the greatest common factor 81,45,164 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 123/81, 359/45, 290/164

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 123/81, 359/45, 290/164?

Answer: LCM of Numerators as per given numbers 123/81, 359/45, 290/164 is

LCM of Numerators i.e. for 123,359,290 is 12805530

GCF of denominators i.e. for 81,45,164 is 1.

Thus, LCM of Fractions is 12805530.Finally, LCM of Fractions for 123/81, 359/45, 290/164 is 12805530.