Least Common Multiple of 16/966, 81/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/966, 81/460 quickly i.e. 1296/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/966, 81/460 is 1296/46.

LCM(16/966, 81/460) = 1296/46

LCM of 16/966, 81/460

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 16/966,81/460

Given numbers are 16/966,81/460

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 16,81

Least Common Multiple of Numerators i.e. LCM of 16,81 is 1296.

GCF of Denominators means GCF of 966,460 as per the given fractions.

GCF of 966,460 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,81

LCM of Fractions 16/966,81/460 is 1296/46

Given numbers has no common factors except 1. So, there LCM is their product i.e 1296

Least Common Multiple of 16,81 with GCF Formula

Least Common Multiple of 16,81 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 16,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,81) = 1

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

GCF(16,81) x common factors =1 x 1 = 1

LCM(16,81) = ( 16 × 81 ) / 1

LCM(16,81) = 1296 / 1

LCM(16,81) = 1296


Lets's calculate GCF of 966,460

2 966, 460
23 483, 230
21, 10

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1296/46

Therefore the LCM of Fractions 16/966,81/460 is 1296/46

Greatest Common Factor of 966,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,460 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 966,460 . The biggest common factor number is the GCF number.
So the greatest common factor 966,460 is 46.


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 16/966, 81/460

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 16/966, 81/460?

Answer: LCM of Numerators as per given numbers 16/966, 81/460 is

LCM of Numerators i.e. for 16,81 is 1296

GCF of denominators i.e. for 966,460 is 46.

Thus, LCM of Fractions is 1296/46.Finally, LCM of Fractions for 16/966, 81/460 is 1296/46.