Least Common Multiple of 81/234, 72/289, 392/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/234, 72/289, 392/620 quickly i.e. 31752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/234, 72/289, 392/620 is 31752.

LCM(81/234, 72/289, 392/620) = 31752

LCM of 81/234, 72/289, 392/620

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 81/234,72/289,392/620

Given numbers are 81/234,72/289,392/620

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 81,72,392

Least Common Multiple of Numerators i.e. LCM of 81,72,392 is 31752.

GCF of Denominators means GCF of 234,289,620 as per the given fractions.

GCF of 234,289,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,72,392

LCM of Fractions 81/234,72/289,392/620 is 31752

2 81, 72, 392
2 81, 36, 196
2 81, 18, 98
3 81, 9, 49
3 27, 3, 49
9, 1, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 9 x 1 x 49 = 31752

Least Common Multiple of 81,72,392 with GCF Formula

Least Common Multiple of 81,72,392 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 81,72,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,72,392) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(81,72,392) x common factors =1 x 72 = 72

LCM(81,72,392) = ( 81 × 72 × 392 ) / 72

LCM(81,72,392) = 2286144 / 72

LCM(81,72,392) = 31752


Lets's calculate GCF of 234,289,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31752/1

Therefore the LCM of Fractions 81/234,72/289,392/620 is 31752

Greatest Common Factor of 234,289,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,289,620 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 234,289,620 . The biggest common factor number is the GCF number.
So the greatest common factor 234,289,620 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 81/234, 72/289, 392/620

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 81/234, 72/289, 392/620?

Answer: LCM of Numerators as per given numbers 81/234, 72/289, 392/620 is

LCM of Numerators i.e. for 81,72,392 is 31752

GCF of denominators i.e. for 234,289,620 is 1.

Thus, LCM of Fractions is 31752.Finally, LCM of Fractions for 81/234, 72/289, 392/620 is 31752.