Least Common Multiple of 382, 504, 819

Q: How to Find the LCM of 382, 504, 819 ?

Least Common Multiple of 382, 504, 819 = 1251432 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(382, 504, 819) = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 191 = 1251432.

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 382, 504, 819 i.e. 1251432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 382, 504, 819 is 1251432.

LCM(382, 504, 819) = 1251432

LCM of 382, 504, 819

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

Least Common Multiple of 382, 504, 819 by common division method
Least Common Multiple of 382, 504, 819 with GCF Formula

Least Common Multiple of 382,504,819

Least Common Multiple (LCM) of 382,504,819 is 1251432

2	382, 504, 819
3	191, 252, 819
3	191, 84, 273
7	191, 28, 91
	191, 4, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 191 x 4 x 13 = 1251432

Least Common Multiple of 382,504,819 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 382,504,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,504,819) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(382,504,819) x common factors =1 x 126 = 126

LCM(382,504,819) = ( 382 × 504 × 819 ) / 126

LCM(382,504,819) = 157680432 / 126

LCM(382,504,819) = 1251432

∴ Least Common Multiple of 382,504,819 is 1251432

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 382, 504, 819

1. What is the LCM of 382, 504, 819?

Answer: LCM of 382, 504, 819 is 1251432.

2. What are the Factors of 1251432?

Answer: Factors of 1251432 are . There are integers that are factors of 1251432

3. How to Find the LCM of 382, 504, 819 ?

Least Common Multiple of 382, 504, 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(382, 504, 819) = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 191 = 1251432.