Given numbers are 596,585,689

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 596,585,689 is 18478980.

Find LCM of 596,585,689 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

13 x 596 x 45 x 53 = 18478980

Therefore, the lowest common multiple of 596,585,689 is 18478980.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

596 x 585 x 689 = 240226740

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

596 : 1, 2, 4, 149, 298, 596

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,585,689, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

585:3x 3x 5x 13

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 240226740/(1x13)

LCM = 240226740/13

LCM = 18478980

Thus, we can understand that the LCM of 596,585,689 is 18478980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 192, 840, 904
• LCM of 609, 947, 324
• LCM of 459, 370, 291
• LCM of 694, 677, 476
• LCM of 634, 315, 494

1. What is the LCM of 596, 585, 689?

Answer: LCM of 596, 585, 689 is 18478980.

2. How to calculate the LCM of 596, 585, 689?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 596, 585, 689.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.