Least Common Multiple of 1404, 3072

Q: How to Find the LCM of 1404, 3072 ?

Least Common Multiple of 1404, 3072 = 359424 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(1404, 3072) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 = 359424.

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 1404, 3072 i.e. 359424 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1404, 3072 is 359424.

LCM(1404, 3072) = 359424

LCM of 1404, 3072

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

Least Common Multiple of 1404, 3072 by common division method
Least Common Multiple of 1404, 3072 with GCF Formula

Least Common Multiple of 1404,3072

Least Common Multiple (LCM) of 1404,3072 is 359424

2	1404, 3072
2	702, 1536
3	351, 768
	117, 256

∴ So the LCM of the given numbers is 2 x 2 x 3 x 117 x 256 = 359424

Least Common Multiple of 1404,3072 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 1404,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1404,3072) = 12

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

GCF(1404,3072) x common factors =12 x 1 = 12

LCM(1404,3072) = ( 1404 × 3072 ) / 12

LCM(1404,3072) = 4313088 / 12

LCM(1404,3072) = 359424

∴ Least Common Multiple of 1404,3072 is 359424

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 1404, 3072

1. What is the LCM of 1404, 3072?

Answer: LCM of 1404, 3072 is 359424.

2. What are the Factors of 359424?

Answer: Factors of 359424 are . There are integers that are factors of 359424

3. How to Find the LCM of 1404, 3072 ?

Least Common Multiple of 1404, 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(1404, 3072) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 = 359424.