Given numbers are 828,720,478,169,578

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

The LCM of 828,720,478,169,578 is 193304863440.

Find LCM of 828,720,478,169,578 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 20 x 239 x 169 x 289 = 193304863440

Therefore, the lowest common multiple of 828,720,478,169,578 is 193304863440.

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.

828 x 720 x 478 x 169 x 578 = 27835900335360

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.

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

478 : 1, 2, 239, 478

169 : 1, 13, 169

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,720,478,169,578, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

720:2x 2x 2x 2x 3x 3x 5

478:2x 239

169:13x 13

578:2x 17x 17

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 27835900335360/(1x144)

LCM = 27835900335360/144

LCM = 193304863440

Thus, we can understand that the LCM of 828,720,478,169,578 is 193304863440.

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

• LCM of 403, 710, 266, 206, 544
• LCM of 349, 337, 276, 118, 314
• LCM of 494, 922, 990, 753, 784
• LCM of 587, 148, 342, 872, 949
• LCM of 143, 585, 322, 893, 475

1. What is the LCM of 828, 720, 478, 169, 578?

Answer: LCM of 828, 720, 478, 169, 578 is 193304863440.

2. How to calculate the LCM of 828, 720, 478, 169, 578?

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 828, 720, 478, 169, 578.

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}.