Least Common Multiple of 90/345, 29/132, 421/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/345, 29/132, 421/729 quickly i.e. 366270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/345, 29/132, 421/729 is 366270.

LCM(90/345, 29/132, 421/729) = 366270

LCM of 90/345, 29/132, 421/729

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 90/345,29/132,421/729

Given numbers are 90/345,29/132,421/729

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 90,29,421

Least Common Multiple of Numerators i.e. LCM of 90,29,421 is 1098810.

GCF of Denominators means GCF of 345,132,729 as per the given fractions.

GCF of 345,132,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,29,421

LCM of Fractions 90/345,29/132,421/729 is 366270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1098810

Least Common Multiple of 90,29,421 with GCF Formula

Least Common Multiple of 90,29,421 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 90,29,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,29,421) = 1

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

GCF(90,29,421) x common factors =1 x 1 = 1

LCM(90,29,421) = ( 90 × 29 × 421 ) / 1

LCM(90,29,421) = 1098810 / 1

LCM(90,29,421) = 1098810


Lets's calculate GCF of 345,132,729

3 345, 132, 729
115, 44, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098810/3

Therefore the LCM of Fractions 90/345,29/132,421/729 is 366270

Greatest Common Factor of 345,132,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,132,729 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 345,132,729 . The biggest common factor number is the GCF number.
So the greatest common factor 345,132,729 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 90/345, 29/132, 421/729

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 90/345, 29/132, 421/729?

Answer: LCM of Numerators as per given numbers 90/345, 29/132, 421/729 is

LCM of Numerators i.e. for 90,29,421 is 1098810

GCF of denominators i.e. for 345,132,729 is 3.

Thus, LCM of Fractions is 366270.Finally, LCM of Fractions for 90/345, 29/132, 421/729 is 366270.