Least Common Multiple of 819, 315, 426

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, 315, 426 i.e. 581490 smallest integer divisible by all numbers.

Least common multiple (LCM) of 819, 315, 426 is 581490.

LCM(819, 315, 426) = 581490

LCM of 819, 315, 426

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

LCM of:

Least Common Multiple of 819,315,426

Least Common Multiple (LCM) of 819,315,426 is 581490

3 819, 315, 426
3 273, 105, 142
7 91, 35, 142
13, 5, 142

∴ So the LCM of the given numbers is 3 x 3 x 7 x 13 x 5 x 142 = 581490

Least Common Multiple of 819,315,426 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 819,315,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,315,426) = 3

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

GCF(819,315,426) x common factors =3 x 63 = 189

LCM(819,315,426) = ( 819 × 315 × 426 ) / 189

LCM(819,315,426) = 109901610 / 189

LCM(819,315,426) = 581490

∴ Least Common Multiple of 819,315,426 is 581490

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, 315, 426

1. What is the LCM of 819, 315, 426?

Answer: LCM of 819, 315, 426 is 581490.

2. What are the Factors of 581490?

Answer: Factors of 581490 are . There are integers that are factors of 581490

3. How to Find the LCM of 819, 315, 426 ?

Least Common Multiple of 819, 315, 426.

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, 315, 426) = 2 x 3 x 3 x 5 x 7 x 13 x 71 = 581490.