Least Common Multiple of 409, 320, 345

Q: How to Find the LCM of 409, 320, 345 ?

Least Common Multiple of 409, 320, 345 = 9030720 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(409, 320, 345) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 409 = 9030720.

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 409, 320, 345 i.e. 9030720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 409, 320, 345 is 9030720.

LCM(409, 320, 345) = 9030720

LCM of 409, 320, 345

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

Least Common Multiple of 409, 320, 345 by common division method
Least Common Multiple of 409, 320, 345 with GCF Formula

Least Common Multiple of 409,320,345

Least Common Multiple (LCM) of 409,320,345 is 9030720

5	409, 320, 345
	409, 64, 69

∴ So the LCM of the given numbers is 5 x 409 x 64 x 69 = 9030720

Least Common Multiple of 409,320,345 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 409,320,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,320,345) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(409,320,345) x common factors =1 x 5 = 5

LCM(409,320,345) = ( 409 × 320 × 345 ) / 5

LCM(409,320,345) = 45153600 / 5

LCM(409,320,345) = 9030720

∴ Least Common Multiple of 409,320,345 is 9030720

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 409, 320, 345

1. What is the LCM of 409, 320, 345?

Answer: LCM of 409, 320, 345 is 9030720.

2. What are the Factors of 9030720?

Answer: Factors of 9030720 are . There are integers that are factors of 9030720

3. How to Find the LCM of 409, 320, 345 ?

Least Common Multiple of 409, 320, 345.

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(409, 320, 345) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 409 = 9030720.