Given numbers are 782,353,962,368,506

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

The LCM of 782,353,962,368,506 is 11684475088.

Find LCM of 782,353,962,368,506 with Prime Factorization

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

2 x 23 x 17 x 353 x 481 x 8 x 11 = 11684475088

Therefore, the lowest common multiple of 782,353,962,368,506 is 11684475088.

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.

782 x 353 x 962 x 368 x 506 = 49448698572416

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

353 : 1, 353

962 : 1, 2, 13, 26, 37, 74, 481, 962

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,353,962,368,506, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

353:353

962:2x 13x 37

368:2x 2x 2x 2x 23

506:2x 11x 23

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 23x 23 = 4232

Therefore, the value for common factors is 4232.

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 = 49448698572416/(1x4232)

LCM = 49448698572416/4232

LCM = 11684475088

Thus, we can understand that the LCM of 782,353,962,368,506 is 11684475088.

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

• LCM of 176, 132, 186, 653, 714
• LCM of 798, 736, 810, 657, 918
• LCM of 545, 578, 213, 943, 762
• LCM of 134, 129, 626, 448, 513
• LCM of 967, 353, 651, 641, 790

1. What is the LCM of 782, 353, 962, 368, 506?

Answer: LCM of 782, 353, 962, 368, 506 is 11684475088.

2. How to calculate the LCM of 782, 353, 962, 368, 506?

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 782, 353, 962, 368, 506.

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}.