Least Common Multiple of 576, 3824

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, 3824 i.e. 137664 smallest integer divisible by all numbers.

Least common multiple (LCM) of 576, 3824 is 137664.

LCM(576, 3824) = 137664

LCM of 576, 3824

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

LCM of:

Least Common Multiple of 576,3824

Least Common Multiple (LCM) of 576,3824 is 137664

2 576, 3824
2 288, 1912
2 144, 956
2 72, 478
36, 239

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 36 x 239 = 137664

Least Common Multiple of 576,3824 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 576,3824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,3824) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(576,3824) x common factors =16 x 1 = 16

LCM(576,3824) = ( 576 × 3824 ) / 16

LCM(576,3824) = 2202624 / 16

LCM(576,3824) = 137664

∴ Least Common Multiple of 576,3824 is 137664

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 576, 3824

1. What is the LCM of 576, 3824?

Answer: LCM of 576, 3824 is 137664.

2. What are the Factors of 137664?

Answer: Factors of 137664 are . There are integers that are factors of 137664

3. How to Find the LCM of 576, 3824 ?

Least Common Multiple of 576, 3824.

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, 3824) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 239 = 137664.