Given numbers are 916,828,896,826

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

The LCM of 916,828,896,826 is 2505912192.

Find LCM of 916,828,896,826 with Prime Factorization

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

2 x 2 x 7 x 229 x 207 x 32 x 59 = 2505912192

Therefore, the lowest common multiple of 916,828,896,826 is 2505912192.

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.

916 x 828 x 896 x 826 = 561324331008

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.

916 : 1, 2, 4, 229, 458, 916

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,828,896,826, is 2.

Now, the common factors can be found like this.

916:2x 2x 229

828:2x 2x 3x 3x 23

896:2x 2x 2x 2x 2x 2x 2x 7

826:2x 7x 59

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 7 = 112

Therefore, the value for common factors is 112.

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 = 561324331008/(2x112)

LCM = 561324331008/224

LCM = 2505912192

Thus, we can understand that the LCM of 916,828,896,826 is 2505912192.

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

• LCM of 288, 403, 940, 146
• LCM of 154, 268, 456, 100
• LCM of 426, 696, 857, 492
• LCM of 200, 715, 849, 243
• LCM of 300, 518, 890, 745

1. What is the LCM of 916, 828, 896, 826?

Answer: LCM of 916, 828, 896, 826 is 2505912192.

2. How to calculate the LCM of 916, 828, 896, 826?

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 916, 828, 896, 826.

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}.