Least Common Multiple of 33, 73, 73, 585

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 33, 73, 73, 585 i.e. 469755 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 73, 73, 585 is 469755.

LCM(33, 73, 73, 585) = 469755

LCM of 33, 73, 73, 585

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

LCM of:

Least Common Multiple of 33,73,73,585

Least Common Multiple (LCM) of 33,73,73,585 is 469755

3 33, 73, 73, 585
73 11, 73, 73, 195
11, 1, 1, 195

∴ So the LCM of the given numbers is 3 x 73 x 11 x 1 x 1 x 195 = 469755

Least Common Multiple of 33,73,73,585 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 33,73,73,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,73,73,585) = 1

common factors(in case of two or more numbers have common factors) = 219

GCF(33,73,73,585) x common factors =1 x 219 = 219

LCM(33,73,73,585) = ( 33 × 73 × 73 × 585 ) / 219

LCM(33,73,73,585) = 102876345 / 219

LCM(33,73,73,585) = 469755

∴ Least Common Multiple of 33,73,73,585 is 469755

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 33, 73, 73, 585

1. What is the LCM of 33, 73, 73, 585?

Answer: LCM of 33, 73, 73, 585 is 469755.

2. What are the Factors of 469755?

Answer: Factors of 469755 are . There are integers that are factors of 469755

3. How to Find the LCM of 33, 73, 73, 585 ?

Least Common Multiple of 33, 73, 73, 585.

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(33, 73, 73, 585) = 3 x 3 x 5 x 11 x 13 x 73 = 469755.