Least Common Multiple of 192, 108, 576

Q: How to Find the LCM of 192, 108, 576 ?

Least Common Multiple of 192, 108, 576 = 1728 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(192, 108, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 1728.

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 192, 108, 576 i.e. 1728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 192, 108, 576 is 1728.

LCM(192, 108, 576) = 1728

LCM of 192, 108, 576

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

Least Common Multiple of 192, 108, 576 by common division method
Least Common Multiple of 192, 108, 576 with GCF Formula

Least Common Multiple of 192,108,576

Least Common Multiple (LCM) of 192,108,576 is 1728

2	192, 108, 576
2	96, 54, 288
2	48, 27, 144
2	24, 27, 72
2	12, 27, 36
2	6, 27, 18
3	3, 27, 9
3	1, 3, 9
	1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1 x 1 x 3 = 1728

Least Common Multiple of 192,108,576 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 192,108,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,108,576) = 12

common factors(in case of two or more numbers have common factors) = 576

GCF(192,108,576) x common factors =12 x 576 = 6912

LCM(192,108,576) = ( 192 × 108 × 576 ) / 6912

LCM(192,108,576) = 11943936 / 6912

LCM(192,108,576) = 1728

∴ Least Common Multiple of 192,108,576 is 1728

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 192, 108, 576

1. What is the LCM of 192, 108, 576?

Answer: LCM of 192, 108, 576 is 1728.

2. What are the Factors of 1728?

Answer: Factors of 1728 are . There are integers that are factors of 1728

3. How to Find the LCM of 192, 108, 576 ?

Least Common Multiple of 192, 108, 576.

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(192, 108, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 1728.