Given numbers are 858,259,736,106,460

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

The LCM of 858,259,736,106,460 is 21671089440.

Find LCM of 858,259,736,106,460 with Prime Factorization

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

2 x 2 x 23 x 429 x 259 x 8 x 53 x 5 = 21671089440

Therefore, the lowest common multiple of 858,259,736,106,460 is 21671089440.

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.

858 x 259 x 736 x 106 x 460 = 7974960913920

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

259 : 1, 7, 37, 259

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

106 : 1, 2, 53, 106

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 858,259,736,106,460, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

259:7x 37

736:2x 2x 2x 2x 2x 23

106:2x 53

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 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 = 7974960913920/(1x368)

LCM = 7974960913920/368

LCM = 21671089440

Thus, we can understand that the LCM of 858,259,736,106,460 is 21671089440.

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

• LCM of 354, 801, 865, 367, 476
• LCM of 786, 471, 697, 418, 463
• LCM of 928, 412, 454, 904, 689
• LCM of 541, 491, 335, 604, 850
• LCM of 160, 774, 900, 621, 553

1. What is the LCM of 858, 259, 736, 106, 460?

Answer: LCM of 858, 259, 736, 106, 460 is 21671089440.

2. How to calculate the LCM of 858, 259, 736, 106, 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 858, 259, 736, 106, 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}.