Given numbers are 506,952,460,161,478

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

The LCM of 506,952,460,161,478 is 287822920.

Find LCM of 506,952,460,161,478 with Prime Factorization

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

2 x 2 x 7 x 23 x 11 x 34 x 5 x 1 x 239 = 287822920

Therefore, the lowest common multiple of 506,952,460,161,478 is 287822920.

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 952 x 460 x 161 x 478 = 17052932364160

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

161 : 1, 7, 23, 161

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,952,460,161,478, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

952:2x 2x 2x 7x 17

460:2x 2x 5x 23

161:7x 23

478:2x 239

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 7x 23x 23 = 59248

Therefore, the value for common factors is 59248.

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 = 17052932364160/(1x59248)

LCM = 17052932364160/59248

LCM = 287822920

Thus, we can understand that the LCM of 506,952,460,161,478 is 287822920.

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

• LCM of 413, 803, 894, 351, 325
• LCM of 131, 477, 107, 506, 113
• LCM of 294, 765, 389, 693, 395
• LCM of 827, 744, 561, 485, 991
• LCM of 849, 328, 714, 868, 214

1. What is the LCM of 506, 952, 460, 161, 478?

Answer: LCM of 506, 952, 460, 161, 478 is 287822920.

2. How to calculate the LCM of 506, 952, 460, 161, 478?

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, 952, 460, 161, 478.

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}.