Least Common Multiple of 489, 589, 722, 230, 570

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 489, 589, 722, 230, 570 i.e. 1258651770 smallest integer divisible by all numbers.

Least common multiple (LCM) of 489, 589, 722, 230, 570 is 1258651770.

LCM(489, 589, 722, 230, 570) = 1258651770

LCM of 489, 589, 722, 230, 570

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

LCM of:

Least Common Multiple of 489,589,722,230,570

Least Common Multiple (LCM) of 489,589,722,230,570 is 1258651770

2 489, 589, 722, 230, 570
3 489, 589, 361, 115, 285
5 163, 589, 361, 115, 95
19 163, 589, 361, 23, 19
163, 31, 1, 23, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 163 x 31 x 1 x 23 x 19 = 1258651770

Least Common Multiple of 489,589,722,230,570 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 489,589,722,230,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,589,722,230,570) = 1

common factors(in case of two or more numbers have common factors) = 21660

GCF(489,589,722,230,570) x common factors =1 x 21660 = 21660

LCM(489,589,722,230,570) = ( 489 × 589 × 722 × 230 × 570 ) / 21660

LCM(489,589,722,230,570) = 27262397338200 / 21660

LCM(489,589,722,230,570) = 1258651770

∴ Least Common Multiple of 489,589,722,230,570 is 1258651770

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 489, 589, 722, 230, 570

1. What is the LCM of 489, 589, 722, 230, 570?

Answer: LCM of 489, 589, 722, 230, 570 is 1258651770.

2. What are the Factors of 1258651770?

Answer: Factors of 1258651770 are . There are integers that are factors of 1258651770

3. How to Find the LCM of 489, 589, 722, 230, 570 ?

Least Common Multiple of 489, 589, 722, 230, 570.

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(489, 589, 722, 230, 570) = 2 x 3 x 5 x 19 x 19 x 23 x 31 x 163 = 1258651770.