Least Common Multiple of 66, 312, 819

Q: How to Find the LCM of 66, 312, 819 ?

Least Common Multiple of 66, 312, 819 = 72072 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(66, 312, 819) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 = 72072.

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 66, 312, 819 i.e. 72072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 312, 819 is 72072.

LCM(66, 312, 819) = 72072

LCM of 66, 312, 819

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

Least Common Multiple of 66, 312, 819 by common division method
Least Common Multiple of 66, 312, 819 with GCF Formula

Least Common Multiple of 66,312,819

Least Common Multiple (LCM) of 66,312,819 is 72072

2	66, 312, 819
3	33, 156, 819
13	11, 52, 273
	11, 4, 21

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 4 x 21 = 72072

Least Common Multiple of 66,312,819 with GCF Formula

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

We need to calculate greatest common factor of 66,312,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,312,819) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(66,312,819) x common factors =3 x 78 = 234

LCM(66,312,819) = ( 66 × 312 × 819 ) / 234

LCM(66,312,819) = 16864848 / 234

LCM(66,312,819) = 72072

∴ Least Common Multiple of 66,312,819 is 72072

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 66, 312, 819

1. What is the LCM of 66, 312, 819?

Answer: LCM of 66, 312, 819 is 72072.

2. What are the Factors of 72072?

Answer: Factors of 72072 are . There are integers that are factors of 72072

3. How to Find the LCM of 66, 312, 819 ?

Least Common Multiple of 66, 312, 819.

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(66, 312, 819) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 = 72072.