Least Common Multiple of 360, 9600

Q: How to Find the LCM of 360, 9600 ?

Least Common Multiple of 360, 9600 = 28800 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(360, 9600) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 28800.

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 360, 9600 i.e. 28800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 360, 9600 is 28800.

LCM(360, 9600) = 28800

LCM of 360, 9600

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

Least Common Multiple of 360, 9600 by common division method
Least Common Multiple of 360, 9600 with GCF Formula

Least Common Multiple of 360,9600

Least Common Multiple (LCM) of 360,9600 is 28800

2	360, 9600
2	180, 4800
2	90, 2400
3	45, 1200
5	15, 400
	3, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 80 = 28800

Least Common Multiple of 360,9600 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 360,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,9600) = 120

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

GCF(360,9600) x common factors =120 x 1 = 120

LCM(360,9600) = ( 360 × 9600 ) / 120

LCM(360,9600) = 3456000 / 120

LCM(360,9600) = 28800

∴ Least Common Multiple of 360,9600 is 28800

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 360, 9600

1. What is the LCM of 360, 9600?

Answer: LCM of 360, 9600 is 28800.

2. What are the Factors of 28800?

Answer: Factors of 28800 are . There are integers that are factors of 28800

3. How to Find the LCM of 360, 9600 ?

Least Common Multiple of 360, 9600.

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(360, 9600) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 28800.