Given numbers are 585,489,644,228,950

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

The LCM of 585,489,644,228,950 is 5833818900.

Find LCM of 585,489,644,228,950 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 39 x 163 x 161 x 1 x 5 = 5833818900

Therefore, the lowest common multiple of 585,489,644,228,950 is 5833818900.

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.

585 x 489 x 644 x 228 x 950 = 39903321276000

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

489 : 1, 3, 163, 489

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,489,644,228,950, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

489:3x 163

644:2x 2x 7x 23

228:2x 2x 3x 19

950:2x 5x 5x 19

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 3x 3x 5x 19 = 6840

Therefore, the value for common factors is 6840.

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 = 39903321276000/(1x6840)

LCM = 39903321276000/6840

LCM = 5833818900

Thus, we can understand that the LCM of 585,489,644,228,950 is 5833818900.

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

• LCM of 250, 645, 699, 163, 223
• LCM of 253, 810, 338, 615, 266
• LCM of 713, 922, 387, 491, 866
• LCM of 701, 369, 987, 461, 979
• LCM of 907, 996, 133, 851, 408

1. What is the LCM of 585, 489, 644, 228, 950?

Answer: LCM of 585, 489, 644, 228, 950 is 5833818900.

2. How to calculate the LCM of 585, 489, 644, 228, 950?

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 585, 489, 644, 228, 950.

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}.