Least Common Multiple of 144, 46, 255, 395

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 144, 46, 255, 395 i.e. 22240080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 46, 255, 395 is 22240080.

LCM(144, 46, 255, 395) = 22240080

LCM of 144, 46, 255, 395

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

LCM of:

Least Common Multiple of 144,46,255,395

Least Common Multiple (LCM) of 144,46,255,395 is 22240080

2 144, 46, 255, 395
3 72, 23, 255, 395
5 24, 23, 85, 395
24, 23, 17, 79

∴ So the LCM of the given numbers is 2 x 3 x 5 x 24 x 23 x 17 x 79 = 22240080

Least Common Multiple of 144,46,255,395 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 144,46,255,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,46,255,395) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(144,46,255,395) x common factors =1 x 30 = 30

LCM(144,46,255,395) = ( 144 × 46 × 255 × 395 ) / 30

LCM(144,46,255,395) = 667202400 / 30

LCM(144,46,255,395) = 22240080

∴ Least Common Multiple of 144,46,255,395 is 22240080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 144, 46, 255, 395

1. What is the LCM of 144, 46, 255, 395?

Answer: LCM of 144, 46, 255, 395 is 22240080.

2. What are the Factors of 22240080?

Answer: Factors of 22240080 are . There are integers that are factors of 22240080

3. How to Find the LCM of 144, 46, 255, 395 ?

Least Common Multiple of 144, 46, 255, 395.

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(144, 46, 255, 395) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 23 x 79 = 22240080.