Given numbers are 284,253,731,904

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

The LCM of 284,253,731,904 is 11870381512.

Find LCM of 284,253,731,904 with Prime Factorization

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

2 x 2 x 71 x 253 x 731 x 226 = 11870381512

Therefore, the lowest common multiple of 284,253,731,904 is 11870381512.

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 253 x 731 x 904 = 47481526048

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

253 : 1, 11, 23, 253

731 : 1, 17, 43, 731

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 284,253,731,904, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

253:11x 23

731:17x 43

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 2 = 4

Therefore, the value for common factors is 4.

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 = 47481526048/(1x4)

LCM = 47481526048/4

LCM = 11870381512

Thus, we can understand that the LCM of 284,253,731,904 is 11870381512.

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

• LCM of 140, 470, 566, 489
• LCM of 929, 754, 928, 634
• LCM of 991, 927, 565, 200
• LCM of 304, 315, 523, 508
• LCM of 882, 922, 654, 905

1. What is the LCM of 284, 253, 731, 904?

Answer: LCM of 284, 253, 731, 904 is 11870381512.

2. How to calculate the LCM of 284, 253, 731, 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, 253, 731, 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}.