Least Common Multiple of 189, 207, 338, 243, 999

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 189, 207, 338, 243, 999 i.e. 489272238 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 207, 338, 243, 999 is 489272238.

LCM(189, 207, 338, 243, 999) = 489272238

LCM of 189, 207, 338, 243, 999

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

LCM of:

Least Common Multiple of 189,207,338,243,999

Least Common Multiple (LCM) of 189,207,338,243,999 is 489272238

3 189, 207, 338, 243, 999
3 63, 69, 338, 81, 333
3 21, 23, 338, 27, 111
7, 23, 338, 9, 37

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 23 x 338 x 9 x 37 = 489272238

Least Common Multiple of 189,207,338,243,999 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 189,207,338,243,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,207,338,243,999) = 1

common factors(in case of two or more numbers have common factors) = 6561

GCF(189,207,338,243,999) x common factors =1 x 6561 = 6561

LCM(189,207,338,243,999) = ( 189 × 207 × 338 × 243 × 999 ) / 6561

LCM(189,207,338,243,999) = 3210115153518 / 6561

LCM(189,207,338,243,999) = 489272238

∴ Least Common Multiple of 189,207,338,243,999 is 489272238

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 189, 207, 338, 243, 999

1. What is the LCM of 189, 207, 338, 243, 999?

Answer: LCM of 189, 207, 338, 243, 999 is 489272238.

2. What are the Factors of 489272238?

Answer: Factors of 489272238 are . There are integers that are factors of 489272238

3. How to Find the LCM of 189, 207, 338, 243, 999 ?

Least Common Multiple of 189, 207, 338, 243, 999.

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(189, 207, 338, 243, 999) = 2 x 3 x 3 x 3 x 3 x 3 x 7 x 13 x 13 x 23 x 37 = 489272238.