Least Common Multiple of 3008, 3072

Q: How to Find the LCM of 3008, 3072 ?

Least Common Multiple of 3008, 3072 = 144384 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(3008, 3072) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 = 144384.

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 3008, 3072 i.e. 144384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3008, 3072 is 144384.

LCM(3008, 3072) = 144384

LCM of 3008, 3072

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

Least Common Multiple of 3008, 3072 by common division method
Least Common Multiple of 3008, 3072 with GCF Formula

Least Common Multiple of 3008,3072

Least Common Multiple (LCM) of 3008,3072 is 144384

2	3008, 3072
2	1504, 1536
2	752, 768
2	376, 384
2	188, 192
2	94, 96
	47, 48

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 47 x 48 = 144384

Least Common Multiple of 3008,3072 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 3008,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3008,3072) = 64

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

GCF(3008,3072) x common factors =64 x 1 = 64

LCM(3008,3072) = ( 3008 × 3072 ) / 64

LCM(3008,3072) = 9240576 / 64

LCM(3008,3072) = 144384

∴ Least Common Multiple of 3008,3072 is 144384

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 3008, 3072

1. What is the LCM of 3008, 3072?

Answer: LCM of 3008, 3072 is 144384.

2. What are the Factors of 144384?

Answer: Factors of 144384 are . There are integers that are factors of 144384

3. How to Find the LCM of 3008, 3072 ?

Least Common Multiple of 3008, 3072.

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(3008, 3072) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 = 144384.