Given numbers are 489,624,917,638

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

The LCM of 489,624,917,638 is 29753099376.

Find LCM of 489,624,917,638 with Prime Factorization

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

2 x 3 x 163 x 104 x 917 x 319 = 29753099376

Therefore, the lowest common multiple of 489,624,917,638 is 29753099376.

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.

489 x 624 x 917 x 638 = 178518596256

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.

489 : 1, 3, 163, 489

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

917 : 1, 7, 131, 917

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,624,917,638, is 1.

Now, the common factors can be found like this.

489:3x 163

624:2x 2x 2x 2x 3x 13

917:7x 131

638:2x 11x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 178518596256/(1x6)

LCM = 178518596256/6

LCM = 29753099376

Thus, we can understand that the LCM of 489,624,917,638 is 29753099376.

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

• LCM of 336, 409, 166, 216
• LCM of 460, 316, 748, 244
• LCM of 668, 568, 447, 446
• LCM of 342, 338, 143, 773
• LCM of 903, 567, 200, 712

1. What is the LCM of 489, 624, 917, 638?

Answer: LCM of 489, 624, 917, 638 is 29753099376.

2. How to calculate the LCM of 489, 624, 917, 638?

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 489, 624, 917, 638.

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}.