Given numbers are 284,747,442,884,904

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

The LCM of 284,747,442,884,904 is 10595944008.

Find LCM of 284,747,442,884,904 with Prime Factorization

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

2 x 2 x 13 x 17 x 71 x 747 x 1 x 1 x 226 = 10595944008

Therefore, the lowest common multiple of 284,747,442,884,904 is 10595944008.

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.

284 x 747 x 442 x 884 x 904 = 74934516024576

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.

284 : 1, 2, 4, 71, 142, 284

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,747,442,884,904, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

747:3x 3x 83

442:2x 13x 17

884:2x 2x 13x 17

904:2x 2x 2x 113

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 13x 17 = 7072

Therefore, the value for common factors is 7072.

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 = 74934516024576/(1x7072)

LCM = 74934516024576/7072

LCM = 10595944008

Thus, we can understand that the LCM of 284,747,442,884,904 is 10595944008.

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

• LCM of 542, 374, 520, 568, 535
• LCM of 496, 223, 406, 904, 952
• LCM of 334, 108, 755, 947, 375
• LCM of 131, 750, 436, 552, 355
• LCM of 931, 344, 293, 785, 803

1. What is the LCM of 284, 747, 442, 884, 904?

Answer: LCM of 284, 747, 442, 884, 904 is 10595944008.

2. How to calculate the LCM of 284, 747, 442, 884, 904?

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 284, 747, 442, 884, 904.

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}.