Least Common Multiple of 80/65, 138/42, 221/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/65, 138/42, 221/729 quickly i.e. 1219920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/65, 138/42, 221/729 is 1219920.

LCM(80/65, 138/42, 221/729) = 1219920

LCM of 80/65, 138/42, 221/729

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 80/65,138/42,221/729

Given numbers are 80/65,138/42,221/729

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 80,138,221

Least Common Multiple of Numerators i.e. LCM of 80,138,221 is 1219920.

GCF of Denominators means GCF of 65,42,729 as per the given fractions.

GCF of 65,42,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,138,221

LCM of Fractions 80/65,138/42,221/729 is 1219920

2 80, 138, 221
40, 69, 221

∴ So the LCM of the given numbers is 2 x 40 x 69 x 221 = 1219920

Least Common Multiple of 80,138,221 with GCF Formula

Least Common Multiple of 80,138,221 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 80,138,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,138,221) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,138,221) x common factors =1 x 2 = 2

LCM(80,138,221) = ( 80 × 138 × 221 ) / 2

LCM(80,138,221) = 2439840 / 2

LCM(80,138,221) = 1219920


Lets's calculate GCF of 65,42,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1219920/1

Therefore the LCM of Fractions 80/65,138/42,221/729 is 1219920

Greatest Common Factor of 65,42,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,42,729 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 65,42,729 . The biggest common factor number is the GCF number.
So the greatest common factor 65,42,729 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 80/65, 138/42, 221/729

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 80/65, 138/42, 221/729?

Answer: LCM of Numerators as per given numbers 80/65, 138/42, 221/729 is

LCM of Numerators i.e. for 80,138,221 is 1219920

GCF of denominators i.e. for 65,42,729 is 1.

Thus, LCM of Fractions is 1219920.Finally, LCM of Fractions for 80/65, 138/42, 221/729 is 1219920.