Least Common Multiple of 576, 240, 512

Q: How to Find the LCM of 576, 240, 512 ?

Least Common Multiple of 576, 240, 512 = 23040 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(576, 240, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 23040.

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 576, 240, 512 i.e. 23040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 576, 240, 512 is 23040.

LCM(576, 240, 512) = 23040

LCM of 576, 240, 512

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

Least Common Multiple of 576, 240, 512 by common division method
Least Common Multiple of 576, 240, 512 with GCF Formula

Least Common Multiple of 576,240,512

Least Common Multiple (LCM) of 576,240,512 is 23040

2	576, 240, 512
2	288, 120, 256
2	144, 60, 128
2	72, 30, 64
2	36, 15, 32
2	18, 15, 16
3	9, 15, 8
	3, 5, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 8 = 23040

Least Common Multiple of 576,240,512 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 576,240,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,240,512) = 16

common factors(in case of two or more numbers have common factors) = 192

GCF(576,240,512) x common factors =16 x 192 = 3072

LCM(576,240,512) = ( 576 × 240 × 512 ) / 3072

LCM(576,240,512) = 70778880 / 3072

LCM(576,240,512) = 23040

∴ Least Common Multiple of 576,240,512 is 23040

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 576, 240, 512

1. What is the LCM of 576, 240, 512?

Answer: LCM of 576, 240, 512 is 23040.

2. What are the Factors of 23040?

Answer: Factors of 23040 are . There are integers that are factors of 23040

3. How to Find the LCM of 576, 240, 512 ?

Least Common Multiple of 576, 240, 512.

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(576, 240, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 23040.