Given numbers are 768,489,813,163,760

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

The LCM of 768,489,813,163,760 is 3222862080.

Find LCM of 768,489,813,163,760 with Prime Factorization

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

2 x 2 x 2 x 3 x 163 x 32 x 1 x 271 x 1 x 95 = 3222862080

Therefore, the lowest common multiple of 768,489,813,163,760 is 3222862080.

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.

768 x 489 x 813 x 163 x 760 = 37823509370880

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

489 : 1, 3, 163, 489

813 : 1, 3, 271, 813

163 : 1, 163

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,489,813,163,760, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

489:3x 163

813:3x 271

163:163

760:2x 2x 2x 5x 19

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 3x 3x 163 = 11736

Therefore, the value for common factors is 11736.

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 = 37823509370880/(1x11736)

LCM = 37823509370880/11736

LCM = 3222862080

Thus, we can understand that the LCM of 768,489,813,163,760 is 3222862080.

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

• LCM of 666, 143, 623, 792, 148
• LCM of 915, 452, 798, 678, 909
• LCM of 341, 705, 691, 275, 121
• LCM of 574, 417, 571, 844, 298
• LCM of 739, 644, 428, 688, 391

1. What is the LCM of 768, 489, 813, 163, 760?

Answer: LCM of 768, 489, 813, 163, 760 is 3222862080.

2. How to calculate the LCM of 768, 489, 813, 163, 760?

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 768, 489, 813, 163, 760.

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}.