Given numbers are 860,584,216,884,676

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

The LCM of 860,584,216,884,676 is 9739814760.

Find LCM of 860,584,216,884,676 with Prime Factorization

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

2 x 2 x 2 x 13 x 215 x 73 x 27 x 17 x 13 = 9739814760

Therefore, the lowest common multiple of 860,584,216,884,676 is 9739814760.

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.

860 x 584 x 216 x 884 x 676 = 64828207042560

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

584 : 1, 2, 4, 8, 73, 146, 292, 584

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,584,216,884,676, is 4.

Now, the common factors can be found like this.

860:2x 2x 5x 43

584:2x 2x 2x 73

216:2x 2x 2x 3x 3x 3

884:2x 2x 13x 17

676:2x 2x 13x 13

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 13 = 1664

Therefore, the value for common factors is 1664.

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 = 64828207042560/(4x1664)

LCM = 64828207042560/6656

LCM = 9739814760

Thus, we can understand that the LCM of 860,584,216,884,676 is 9739814760.

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

• LCM of 122, 864, 156, 590, 746
• LCM of 299, 379, 358, 959, 223
• LCM of 258, 114, 309, 552, 255
• LCM of 227, 513, 395, 360, 459
• LCM of 273, 346, 333, 789, 927

1. What is the LCM of 860, 584, 216, 884, 676?

Answer: LCM of 860, 584, 216, 884, 676 is 9739814760.

2. How to calculate the LCM of 860, 584, 216, 884, 676?

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 860, 584, 216, 884, 676.

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}.