Least Common Multiple of 405, 720, 412, 494

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 405, 720, 412, 494 i.e. 164857680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 405, 720, 412, 494 is 164857680.

LCM(405, 720, 412, 494) = 164857680

LCM of 405, 720, 412, 494

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

LCM of:

Least Common Multiple of 405,720,412,494

Least Common Multiple (LCM) of 405,720,412,494 is 164857680

2 405, 720, 412, 494
2 405, 360, 206, 247
3 405, 180, 103, 247
3 135, 60, 103, 247
5 45, 20, 103, 247
9, 4, 103, 247

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 9 x 4 x 103 x 247 = 164857680

Least Common Multiple of 405,720,412,494 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 405,720,412,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,720,412,494) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(405,720,412,494) x common factors =1 x 360 = 360

LCM(405,720,412,494) = ( 405 × 720 × 412 × 494 ) / 360

LCM(405,720,412,494) = 59348764800 / 360

LCM(405,720,412,494) = 164857680

∴ Least Common Multiple of 405,720,412,494 is 164857680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 405, 720, 412, 494

1. What is the LCM of 405, 720, 412, 494?

Answer: LCM of 405, 720, 412, 494 is 164857680.

2. What are the Factors of 164857680?

Answer: Factors of 164857680 are . There are integers that are factors of 164857680

3. How to Find the LCM of 405, 720, 412, 494 ?

Least Common Multiple of 405, 720, 412, 494.

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(405, 720, 412, 494) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 19 x 103 = 164857680.