Given numbers are 506,591,792,330

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

The LCM of 506,591,792,330 is 17942760.

Find LCM of 506,591,792,330 with Prime Factorization

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

2 x 3 x 11 x 23 x 197 x 12 x 5 = 17942760

Therefore, the lowest common multiple of 506,591,792,330 is 17942760.

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.

506 x 591 x 792 x 330 = 78158662560

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.

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

591 : 1, 3, 197, 591

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,591,792,330, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

591:3x 197

792:2x 2x 2x 3x 3x 11

330:2x 3x 5x 11

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 3x 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 78158662560/(1x4356)

LCM = 78158662560/4356

LCM = 17942760

Thus, we can understand that the LCM of 506,591,792,330 is 17942760.

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

• LCM of 618, 564, 314, 480
• LCM of 906, 287, 724, 801
• LCM of 518, 291, 604, 454
• LCM of 607, 394, 856, 650
• LCM of 910, 754, 302, 491

1. What is the LCM of 506, 591, 792, 330?

Answer: LCM of 506, 591, 792, 330 is 17942760.

2. How to calculate the LCM of 506, 591, 792, 330?

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 506, 591, 792, 330.

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}.