Given numbers are 589,446,104,938,268

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

The LCM of 589,446,104,938,268 is 6406581272.

Find LCM of 589,446,104,938,268 with Prime Factorization

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

2 x 2 x 67 x 589 x 223 x 26 x 7 x 1 = 6406581272

Therefore, the lowest common multiple of 589,446,104,938,268 is 6406581272.

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.

589 x 446 x 104 x 938 x 268 = 6867855123584

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.

589 : 1, 19, 31, 589

446 : 1, 2, 223, 446

104 : 1, 2, 4, 8, 13, 26, 52, 104

938 : 1, 2, 7, 14, 67, 134, 469, 938

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,446,104,938,268, is 1.

Now, the common factors can be found like this.

589:19x 31

446:2x 223

104:2x 2x 2x 13

938:2x 7x 67

268:2x 2x 67

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 67 = 1072

Therefore, the value for common factors is 1072.

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 = 6867855123584/(1x1072)

LCM = 6867855123584/1072

LCM = 6406581272

Thus, we can understand that the LCM of 589,446,104,938,268 is 6406581272.

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

• LCM of 273, 478, 364, 322, 335
• LCM of 531, 618, 860, 806, 830
• LCM of 222, 907, 117, 587, 768
• LCM of 743, 332, 493, 179, 936
• LCM of 383, 257, 305, 928, 825

1. What is the LCM of 589, 446, 104, 938, 268?

Answer: LCM of 589, 446, 104, 938, 268 is 6406581272.

2. How to calculate the LCM of 589, 446, 104, 938, 268?

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 589, 446, 104, 938, 268.

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}.