Given numbers are 450,936,646,339,423

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

The LCM of 450,936,646,339,423 is 40141600200.

Find LCM of 450,936,646,339,423 with Prime Factorization

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

2 x 3 x 3 x 25 x 52 x 323 x 113 x 47 = 40141600200

Therefore, the lowest common multiple of 450,936,646,339,423 is 40141600200.

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.

450 x 936 x 646 x 339 x 423 = 39017635394400

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

646 : 1, 2, 17, 19, 34, 38, 323, 646

339 : 1, 3, 113, 339

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,936,646,339,423, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

936:2x 2x 2x 3x 3x 13

646:2x 17x 19

339:3x 113

423:3x 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 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 39017635394400/(1x972)

LCM = 39017635394400/972

LCM = 40141600200

Thus, we can understand that the LCM of 450,936,646,339,423 is 40141600200.

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

• LCM of 595, 845, 426, 328, 720
• LCM of 539, 237, 120, 817, 536
• LCM of 540, 651, 761, 480, 700
• LCM of 621, 701, 556, 279, 961
• LCM of 636, 341, 835, 217, 762

1. What is the LCM of 450, 936, 646, 339, 423?

Answer: LCM of 450, 936, 646, 339, 423 is 40141600200.

2. How to calculate the LCM of 450, 936, 646, 339, 423?

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 450, 936, 646, 339, 423.

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}.