Least Common Multiple of 207, 288, 720

Q: How to Find the LCM of 207, 288, 720 ?

Least Common Multiple of 207, 288, 720 = 33120 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(207, 288, 720) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 = 33120.

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 207, 288, 720 i.e. 33120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 207, 288, 720 is 33120.

LCM(207, 288, 720) = 33120

LCM of 207, 288, 720

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

Least Common Multiple of 207, 288, 720 by common division method
Least Common Multiple of 207, 288, 720 with GCF Formula

Least Common Multiple of 207,288,720

Least Common Multiple (LCM) of 207,288,720 is 33120

2	207, 288, 720
2	207, 144, 360
2	207, 72, 180
2	207, 36, 90
3	207, 18, 45
3	69, 6, 15
	23, 2, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 23 x 2 x 5 = 33120

Least Common Multiple of 207,288,720 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 207,288,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,288,720) = 9

common factors(in case of two or more numbers have common factors) = 144

GCF(207,288,720) x common factors =9 x 144 = 1296

LCM(207,288,720) = ( 207 × 288 × 720 ) / 1296

LCM(207,288,720) = 42923520 / 1296

LCM(207,288,720) = 33120

∴ Least Common Multiple of 207,288,720 is 33120

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 207, 288, 720

1. What is the LCM of 207, 288, 720?

Answer: LCM of 207, 288, 720 is 33120.

2. What are the Factors of 33120?

Answer: Factors of 33120 are . There are integers that are factors of 33120

3. How to Find the LCM of 207, 288, 720 ?

Least Common Multiple of 207, 288, 720.

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(207, 288, 720) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 = 33120.