Given numbers are 460,642,378,537,321

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

The LCM of 460,642,378,537,321 is 1665161820.

Find LCM of 460,642,378,537,321 with Prime Factorization

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

2 x 3 x 107 x 230 x 1 x 63 x 179 x 1 = 1665161820

Therefore, the lowest common multiple of 460,642,378,537,321 is 1665161820.

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 642 x 378 x 537 x 321 = 19242609991920

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

537 : 1, 3, 179, 537

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,642,378,537,321, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

642:2x 3x 107

378:2x 3x 3x 3x 7

537:3x 179

321:3x 107

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 3x 107 = 11556

Therefore, the value for common factors is 11556.

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 = 19242609991920/(1x11556)

LCM = 19242609991920/11556

LCM = 1665161820

Thus, we can understand that the LCM of 460,642,378,537,321 is 1665161820.

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

• LCM of 868, 794, 730, 771, 866
• LCM of 961, 488, 979, 410, 596
• LCM of 431, 741, 818, 335, 993
• LCM of 454, 983, 129, 496, 219
• LCM of 473, 558, 668, 449, 412

1. What is the LCM of 460, 642, 378, 537, 321?

Answer: LCM of 460, 642, 378, 537, 321 is 1665161820.

2. How to calculate the LCM of 460, 642, 378, 537, 321?

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, 642, 378, 537, 321.

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}.