Given numbers are 768,874,920,426,163

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

The LCM of 768,874,920,426,163 is 19420419840.

Find LCM of 768,874,920,426,163 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 32 x 19 x 5 x 71 x 163 = 19420419840

Therefore, the lowest common multiple of 768,874,920,426,163 is 19420419840.

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.

768 x 874 x 920 x 426 x 163 = 42880287006720

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

874 : 1, 2, 19, 23, 38, 46, 437, 874

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

426 : 1, 2, 3, 6, 71, 142, 213, 426

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,874,920,426,163, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

874:2x 19x 23

920:2x 2x 2x 5x 23

426:2x 3x 71

163:163

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 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 42880287006720/(1x2208)

LCM = 42880287006720/2208

LCM = 19420419840

Thus, we can understand that the LCM of 768,874,920,426,163 is 19420419840.

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

• LCM of 542, 199, 155, 725, 705
• LCM of 649, 285, 499, 595, 904
• LCM of 853, 854, 538, 598, 922
• LCM of 445, 622, 812, 187, 875
• LCM of 130, 420, 530, 210, 526

1. What is the LCM of 768, 874, 920, 426, 163?

Answer: LCM of 768, 874, 920, 426, 163 is 19420419840.

2. How to calculate the LCM of 768, 874, 920, 426, 163?

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 768, 874, 920, 426, 163.

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}.