Least Common Multiple of 819, 189, 318

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 819, 189, 318 i.e. 260442 smallest integer divisible by all numbers.

Least common multiple (LCM) of 819, 189, 318 is 260442.

LCM(819, 189, 318) = 260442

LCM of 819, 189, 318

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

LCM of:

Least Common Multiple of 819,189,318

Least Common Multiple (LCM) of 819,189,318 is 260442

3 819, 189, 318
3 273, 63, 106
7 91, 21, 106
13, 3, 106

∴ So the LCM of the given numbers is 3 x 3 x 7 x 13 x 3 x 106 = 260442

Least Common Multiple of 819,189,318 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 819,189,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,189,318) = 3

common factors(in case of two or more numbers have common factors) = 63

GCF(819,189,318) x common factors =3 x 63 = 189

LCM(819,189,318) = ( 819 × 189 × 318 ) / 189

LCM(819,189,318) = 49223538 / 189

LCM(819,189,318) = 260442

∴ Least Common Multiple of 819,189,318 is 260442

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 819, 189, 318

1. What is the LCM of 819, 189, 318?

Answer: LCM of 819, 189, 318 is 260442.

2. What are the Factors of 260442?

Answer: Factors of 260442 are . There are integers that are factors of 260442

3. How to Find the LCM of 819, 189, 318 ?

Least Common Multiple of 819, 189, 318.

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(819, 189, 318) = 2 x 3 x 3 x 3 x 7 x 13 x 53 = 260442.