Given numbers are 826,466,747,684,390

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

The LCM of 826,466,747,684,390 is 355102331220.

Find LCM of 826,466,747,684,390 with Prime Factorization

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

2 x 3 x 3 x 413 x 233 x 83 x 38 x 65 = 355102331220

Therefore, the lowest common multiple of 826,466,747,684,390 is 355102331220.

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.

826 x 466 x 747 x 684 x 390 = 76702103543520

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

466 : 1, 2, 233, 466

747 : 1, 3, 9, 83, 249, 747

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,466,747,684,390, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

466:2x 233

747:3x 3x 83

684:2x 2x 3x 3x 19

390:2x 3x 5x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 76702103543520/(1x216)

LCM = 76702103543520/216

LCM = 355102331220

Thus, we can understand that the LCM of 826,466,747,684,390 is 355102331220.

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

• LCM of 878, 225, 861, 776, 164
• LCM of 896, 923, 447, 187, 229
• LCM of 564, 631, 508, 348, 746
• LCM of 922, 962, 611, 302, 816
• LCM of 166, 833, 885, 841, 320

1. What is the LCM of 826, 466, 747, 684, 390?

Answer: LCM of 826, 466, 747, 684, 390 is 355102331220.

2. How to calculate the LCM of 826, 466, 747, 684, 390?

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 826, 466, 747, 684, 390.

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}.