Given numbers are 432,704,344,473,627

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

The LCM of 432,704,344,473,627 is 15529536.

Find LCM of 432,704,344,473,627 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 43 x 9 x 4 x 1 x 1 x 19 = 15529536

Therefore, the lowest common multiple of 432,704,344,473,627 is 15529536.

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.

432 x 704 x 344 x 473 x 627 = 31027267510272

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

344 : 1, 2, 4, 8, 43, 86, 172, 344

473 : 1, 11, 43, 473

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,704,344,473,627, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

704:2x 2x 2x 2x 2x 2x 11

344:2x 2x 2x 43

473:11x 43

627:3x 11x 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 2x 2x 2x 3x 11x 11x 43 = 1997952

Therefore, the value for common factors is 1997952.

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 = 31027267510272/(1x1997952)

LCM = 31027267510272/1997952

LCM = 15529536

Thus, we can understand that the LCM of 432,704,344,473,627 is 15529536.

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

• LCM of 632, 206, 258, 305, 432
• LCM of 405, 959, 461, 130, 771
• LCM of 274, 297, 940, 940, 416
• LCM of 414, 176, 250, 579, 549
• LCM of 436, 404, 526, 156, 708

1. What is the LCM of 432, 704, 344, 473, 627?

Answer: LCM of 432, 704, 344, 473, 627 is 15529536.

2. How to calculate the LCM of 432, 704, 344, 473, 627?

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 432, 704, 344, 473, 627.

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}.