Given numbers are 460,989,398,352,798

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

The LCM of 460,989,398,352,798 is 138208556640.

Find LCM of 460,989,398,352,798 with Prime Factorization

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

2 x 2 x 23 x 5 x 43 x 199 x 88 x 399 = 138208556640

Therefore, the lowest common multiple of 460,989,398,352,798 is 138208556640.

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.

460 x 989 x 398 x 352 x 798 = 50860748843520

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.

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

989 : 1, 23, 43, 989

398 : 1, 2, 199, 398

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,989,398,352,798, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

989:23x 43

398:2x 199

352:2x 2x 2x 2x 2x 11

798:2x 3x 7x 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 2x 23 = 368

Therefore, the value for common factors is 368.

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 = 50860748843520/(1x368)

LCM = 50860748843520/368

LCM = 138208556640

Thus, we can understand that the LCM of 460,989,398,352,798 is 138208556640.

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

• LCM of 584, 534, 613, 169, 628
• LCM of 368, 749, 275, 185, 419
• LCM of 991, 543, 931, 636, 471
• LCM of 352, 731, 275, 619, 729
• LCM of 755, 909, 703, 214, 900

1. What is the LCM of 460, 989, 398, 352, 798?

Answer: LCM of 460, 989, 398, 352, 798 is 138208556640.

2. How to calculate the LCM of 460, 989, 398, 352, 798?

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 460, 989, 398, 352, 798.

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}.