Least Common Multiple of 12, 72, 63, 576

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 12, 72, 63, 576 i.e. 4032 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 72, 63, 576 is 4032.

LCM(12, 72, 63, 576) = 4032

LCM of 12, 72, 63, 576

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

LCM of:

Least Common Multiple of 12,72,63,576

Least Common Multiple (LCM) of 12,72,63,576 is 4032

2 12, 72, 63, 576
2 6, 36, 63, 288
2 3, 18, 63, 144
3 3, 9, 63, 72
3 1, 3, 21, 24
1, 1, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 7 x 8 = 4032

Least Common Multiple of 12,72,63,576 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 12,72,63,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,72,63,576) = 3

common factors(in case of two or more numbers have common factors) = 2592

GCF(12,72,63,576) x common factors =3 x 2592 = 7776

LCM(12,72,63,576) = ( 12 × 72 × 63 × 576 ) / 7776

LCM(12,72,63,576) = 31352832 / 7776

LCM(12,72,63,576) = 4032

∴ Least Common Multiple of 12,72,63,576 is 4032

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 72, 63, 576

1. What is the LCM of 12, 72, 63, 576?

Answer: LCM of 12, 72, 63, 576 is 4032.

2. What are the Factors of 4032?

Answer: Factors of 4032 are . There are integers that are factors of 4032

3. How to Find the LCM of 12, 72, 63, 576 ?

Least Common Multiple of 12, 72, 63, 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(12, 72, 63, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 4032.