Given numbers are 364,637,316,722,460

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

The LCM of 364,637,316,722,460 is 8356637380.

Find LCM of 364,637,316,722,460 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 7 x 79 x 361 x 115 = 8356637380

Therefore, the lowest common multiple of 364,637,316,722,460 is 8356637380.

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.

364 x 637 x 316 x 722 x 460 = 24334528050560

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

637 : 1, 7, 13, 49, 91, 637

316 : 1, 2, 4, 79, 158, 316

722 : 1, 2, 19, 38, 361, 722

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,637,316,722,460, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

637:7x 7x 13

316:2x 2x 79

722:2x 19x 19

460:2x 2x 5x 23

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 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 24334528050560/(1x2912)

LCM = 24334528050560/2912

LCM = 8356637380

Thus, we can understand that the LCM of 364,637,316,722,460 is 8356637380.

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

• LCM of 134, 689, 888, 117, 271
• LCM of 490, 927, 197, 510, 908
• LCM of 203, 606, 973, 966, 384
• LCM of 596, 378, 539, 481, 544
• LCM of 154, 232, 287, 486, 621

1. What is the LCM of 364, 637, 316, 722, 460?

Answer: LCM of 364, 637, 316, 722, 460 is 8356637380.

2. How to calculate the LCM of 364, 637, 316, 722, 460?

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 364, 637, 316, 722, 460.

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}.