Given numbers are 133,782,321,702,564

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

The LCM of 133,782,321,702,564 is 367178414148.

Find LCM of 133,782,321,702,564 with Prime Factorization

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

2 x 3 x 133 x 391 x 107 x 117 x 94 = 367178414148

Therefore, the lowest common multiple of 133,782,321,702,564 is 367178414148.

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.

133 x 782 x 321 x 702 x 564 = 13218422909328

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.

133 : 1, 7, 19, 133

782 : 1, 2, 17, 23, 34, 46, 391, 782

321 : 1, 3, 107, 321

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,782,321,702,564, is 1.

Now, the common factors can be found like this.

133:7x 19

782:2x 17x 23

321:3x 107

702:2x 3x 3x 3x 13

564:2x 2x 3x 47

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 13218422909328/(1x36)

LCM = 13218422909328/36

LCM = 367178414148

Thus, we can understand that the LCM of 133,782,321,702,564 is 367178414148.

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

• LCM of 326, 912, 673, 479, 389
• LCM of 903, 160, 910, 350, 720
• LCM of 138, 746, 677, 811, 681
• LCM of 953, 499, 569, 947, 265
• LCM of 304, 422, 511, 237, 441

1. What is the LCM of 133, 782, 321, 702, 564?

Answer: LCM of 133, 782, 321, 702, 564 is 367178414148.

2. How to calculate the LCM of 133, 782, 321, 702, 564?

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 133, 782, 321, 702, 564.

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}.