Least Common Multiple of 33, 96, 123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 33, 96, 123 i.e. 43296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 96, 123 is 43296.

LCM(33, 96, 123) = 43296

LCM of 33, 96, 123

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 33,96,123

Least Common Multiple (LCM) of 33,96,123 is 43296

3 33, 96, 123
11, 32, 41

∴ So the LCM of the given numbers is 3 x 11 x 32 x 41 = 43296

Least Common Multiple of 33,96,123 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 33,96,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,96,123) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,96,123) x common factors =3 x 3 = 9

LCM(33,96,123) = ( 33 × 96 × 123 ) / 9

LCM(33,96,123) = 389664 / 9

LCM(33,96,123) = 43296

∴ Least Common Multiple of 33,96,123 is 43296

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 33, 96, 123

1. What is the LCM of 33, 96, 123?

Answer: LCM of 33, 96, 123 is 43296.

2. What are the Factors of 43296?

Answer: Factors of 43296 are . There are integers that are factors of 43296

3. How to Find the LCM of 33, 96, 123 ?

Least Common Multiple of 33, 96, 123.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(33, 96, 123) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 41 = 43296.