Least Common Multiple of 73/100, 35/361, 169/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/100, 35/361, 169/324 quickly i.e. 431795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/100, 35/361, 169/324 is 431795.

LCM(73/100, 35/361, 169/324) = 431795

LCM of 73/100, 35/361, 169/324

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 73/100,35/361,169/324

Given numbers are 73/100,35/361,169/324

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 73,35,169

Least Common Multiple of Numerators i.e. LCM of 73,35,169 is 431795.

GCF of Denominators means GCF of 100,361,324 as per the given fractions.

GCF of 100,361,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,35,169

LCM of Fractions 73/100,35/361,169/324 is 431795

Given numbers has no common factors except 1. So, there LCM is their product i.e 431795

Least Common Multiple of 73,35,169 with GCF Formula

Least Common Multiple of 73,35,169 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 73,35,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,35,169) = 1

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

GCF(73,35,169) x common factors =1 x 1 = 1

LCM(73,35,169) = ( 73 × 35 × 169 ) / 1

LCM(73,35,169) = 431795 / 1

LCM(73,35,169) = 431795


Lets's calculate GCF of 100,361,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431795/1

Therefore the LCM of Fractions 73/100,35/361,169/324 is 431795

Greatest Common Factor of 100,361,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,361,324 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 100,361,324 . The biggest common factor number is the GCF number.
So the greatest common factor 100,361,324 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 73/100, 35/361, 169/324

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 73/100, 35/361, 169/324?

Answer: LCM of Numerators as per given numbers 73/100, 35/361, 169/324 is

LCM of Numerators i.e. for 73,35,169 is 431795

GCF of denominators i.e. for 100,361,324 is 1.

Thus, LCM of Fractions is 431795.Finally, LCM of Fractions for 73/100, 35/361, 169/324 is 431795.