Least Common Multiple of 169/81, 340/1623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/81, 340/1623 quickly i.e. 57460/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/81, 340/1623 is 57460/3.

LCM(169/81, 340/1623) = 57460/3

LCM of 169/81, 340/1623

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 169/81,340/1623

Given numbers are 169/81,340/1623

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 169,340

Least Common Multiple of Numerators i.e. LCM of 169,340 is 57460.

GCF of Denominators means GCF of 81,1623 as per the given fractions.

GCF of 81,1623 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,340

LCM of Fractions 169/81,340/1623 is 57460/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 57460

Least Common Multiple of 169,340 with GCF Formula

Least Common Multiple of 169,340 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 169,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,340) = 1

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

GCF(169,340) x common factors =1 x 1 = 1

LCM(169,340) = ( 169 × 340 ) / 1

LCM(169,340) = 57460 / 1

LCM(169,340) = 57460


Lets's calculate GCF of 81,1623

3 81, 1623
27, 541

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57460/3

Therefore the LCM of Fractions 169/81,340/1623 is 57460/3

Greatest Common Factor of 81,1623 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,1623 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 1623

List of positive integer factors of 1623 that divides 1623 without a remainder.

1,3,541,1623

Greatest Common Factor

We found the factors 81,1623 . The biggest common factor number is the GCF number.
So the greatest common factor 81,1623 is 3.


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 169/81, 340/1623

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 169/81, 340/1623?

Answer: LCM of Numerators as per given numbers 169/81, 340/1623 is

LCM of Numerators i.e. for 169,340 is 57460

GCF of denominators i.e. for 81,1623 is 3.

Thus, LCM of Fractions is 57460/3.Finally, LCM of Fractions for 169/81, 340/1623 is 57460/3.