Least Common Multiple of 288, 3456

Q: How to Find the LCM of 288, 3456 ?

Least Common Multiple of 288, 3456 = 3456 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(288, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 3456.

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 288, 3456 i.e. 3456 smallest integer divisible by all numbers.

Least common multiple (LCM) of 288, 3456 is 3456.

LCM(288, 3456) = 3456

LCM of 288, 3456

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

Least Common Multiple of 288, 3456 by common division method
Least Common Multiple of 288, 3456 with GCF Formula

Least Common Multiple of 288,3456

Least Common Multiple (LCM) of 288,3456 is 3456

2	288, 3456
2	144, 1728
2	72, 864
2	36, 432
2	18, 216
3	9, 108
3	3, 36
	1, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1 x 12 = 3456

Least Common Multiple of 288,3456 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 288,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,3456) = 288

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

GCF(288,3456) x common factors =288 x 1 = 288

LCM(288,3456) = ( 288 × 3456 ) / 288

LCM(288,3456) = 995328 / 288

LCM(288,3456) = 3456

∴ Least Common Multiple of 288,3456 is 3456

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 288, 3456

1. What is the LCM of 288, 3456?

Answer: LCM of 288, 3456 is 3456.

2. What are the Factors of 3456?

Answer: Factors of 3456 are . There are integers that are factors of 3456

3. How to Find the LCM of 288, 3456 ?

Least Common Multiple of 288, 3456.

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(288, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 3456.