Given numbers are 648,690,489,156,580

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

The LCM of 648,690,489,156,580 is 4579328520.

Find LCM of 648,690,489,156,580 with Prime Factorization

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

2 x 2 x 3 x 5 x 54 x 23 x 163 x 13 x 29 = 4579328520

Therefore, the lowest common multiple of 648,690,489,156,580 is 4579328520.

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.

648 x 690 x 489 x 156 x 580 = 19782699206400

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

489 : 1, 3, 163, 489

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,690,489,156,580, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

690:2x 3x 5x 23

489:3x 163

156:2x 2x 3x 13

580:2x 2x 5x 29

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

2x 2x 2x 2x 2x 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 19782699206400/(1x4320)

LCM = 19782699206400/4320

LCM = 4579328520

Thus, we can understand that the LCM of 648,690,489,156,580 is 4579328520.

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

• LCM of 736, 444, 245, 369, 726
• LCM of 243, 179, 191, 610, 632
• LCM of 322, 296, 654, 822, 186
• LCM of 767, 285, 785, 670, 361
• LCM of 474, 123, 964, 282, 819

1. What is the LCM of 648, 690, 489, 156, 580?

Answer: LCM of 648, 690, 489, 156, 580 is 4579328520.

2. How to calculate the LCM of 648, 690, 489, 156, 580?

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 648, 690, 489, 156, 580.

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}.