Least Common Multiple of 576, 1446, 672

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, 1446, 672 i.e. 971712 smallest integer divisible by all numbers.

Least common multiple (LCM) of 576, 1446, 672 is 971712.

LCM(576, 1446, 672) = 971712

LCM of 576, 1446, 672

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

LCM of:

Least Common Multiple of 576,1446,672

Least Common Multiple (LCM) of 576,1446,672 is 971712

2 576, 1446, 672
2 288, 723, 336
2 144, 723, 168
2 72, 723, 84
2 36, 723, 42
3 18, 723, 21
6, 241, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 6 x 241 x 7 = 971712

Least Common Multiple of 576,1446,672 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 576,1446,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,1446,672) = 6

common factors(in case of two or more numbers have common factors) = 96

GCF(576,1446,672) x common factors =6 x 96 = 576

LCM(576,1446,672) = ( 576 × 1446 × 672 ) / 576

LCM(576,1446,672) = 559706112 / 576

LCM(576,1446,672) = 971712

∴ Least Common Multiple of 576,1446,672 is 971712

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, 1446, 672

1. What is the LCM of 576, 1446, 672?

Answer: LCM of 576, 1446, 672 is 971712.

2. What are the Factors of 971712?

Answer: Factors of 971712 are . There are integers that are factors of 971712

3. How to Find the LCM of 576, 1446, 672 ?

Least Common Multiple of 576, 1446, 672.

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, 1446, 672) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 241 = 971712.