Least Common Multiple of 968/32, 121/29, 462/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/32, 121/29, 462/81 quickly i.e. 20328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/32, 121/29, 462/81 is 20328.

LCM(968/32, 121/29, 462/81) = 20328

LCM of 968/32, 121/29, 462/81

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 968/32,121/29,462/81

Given numbers are 968/32,121/29,462/81

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 968,121,462

Least Common Multiple of Numerators i.e. LCM of 968,121,462 is 20328.

GCF of Denominators means GCF of 32,29,81 as per the given fractions.

GCF of 32,29,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,121,462

LCM of Fractions 968/32,121/29,462/81 is 20328

2 968, 121, 462
11 484, 121, 231
11 44, 11, 21
4, 1, 21

∴ So the LCM of the given numbers is 2 x 11 x 11 x 4 x 1 x 21 = 20328

Least Common Multiple of 968,121,462 with GCF Formula

Least Common Multiple of 968,121,462 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 968,121,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,121,462) = 11

common factors(in case of two or more numbers have common factors) = 242

GCF(968,121,462) x common factors =11 x 242 = 2662

LCM(968,121,462) = ( 968 × 121 × 462 ) / 2662

LCM(968,121,462) = 54113136 / 2662

LCM(968,121,462) = 20328


Lets's calculate GCF of 32,29,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20328/1

Therefore the LCM of Fractions 968/32,121/29,462/81 is 20328

Greatest Common Factor of 32,29,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,29,81 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 32,29,81 . The biggest common factor number is the GCF number.
So the greatest common factor 32,29,81 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 968/32, 121/29, 462/81

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 968/32, 121/29, 462/81?

Answer: LCM of Numerators as per given numbers 968/32, 121/29, 462/81 is

LCM of Numerators i.e. for 968,121,462 is 20328

GCF of denominators i.e. for 32,29,81 is 1.

Thus, LCM of Fractions is 20328.Finally, LCM of Fractions for 968/32, 121/29, 462/81 is 20328.