Least Common Multiple of 819, 396, 741

Q: How to Find the LCM of 819, 396, 741 ?

Least Common Multiple of 819, 396, 741 = 684684 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, 396, 741) = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 19 = 684684.

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, 396, 741 i.e. 684684 smallest integer divisible by all numbers.

Least common multiple (LCM) of 819, 396, 741 is 684684.

LCM(819, 396, 741) = 684684

LCM of 819, 396, 741

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

Least Common Multiple of 819, 396, 741 by common division method
Least Common Multiple of 819, 396, 741 with GCF Formula

Least Common Multiple of 819,396,741

Least Common Multiple (LCM) of 819,396,741 is 684684

3	819, 396, 741
3	273, 132, 247
13	91, 44, 247
	7, 44, 19

∴ So the LCM of the given numbers is 3 x 3 x 13 x 7 x 44 x 19 = 684684

Least Common Multiple of 819,396,741 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 819,396,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,396,741) = 3

common factors(in case of two or more numbers have common factors) = 117

GCF(819,396,741) x common factors =3 x 117 = 351

LCM(819,396,741) = ( 819 × 396 × 741 ) / 351

LCM(819,396,741) = 240324084 / 351

LCM(819,396,741) = 684684

∴ Least Common Multiple of 819,396,741 is 684684

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, 396, 741

1. What is the LCM of 819, 396, 741?

Answer: LCM of 819, 396, 741 is 684684.

2. What are the Factors of 684684?

Answer: Factors of 684684 are . There are integers that are factors of 684684

3. How to Find the LCM of 819, 396, 741 ?

Least Common Multiple of 819, 396, 741.

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, 396, 741) = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 19 = 684684.