Given numbers are 468,720,207,646

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

The LCM of 468,720,207,646 is 69535440.

Find LCM of 468,720,207,646 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 20 x 23 x 323 = 69535440

Therefore, the lowest common multiple of 468,720,207,646 is 69535440.

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.

468 x 720 x 207 x 646 = 45058965120

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

207 : 1, 3, 9, 23, 69, 207

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,720,207,646, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

720:2x 2x 2x 2x 3x 3x 5

207:3x 3x 23

646:2x 17x 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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 45058965120/(1x648)

LCM = 45058965120/648

LCM = 69535440

Thus, we can understand that the LCM of 468,720,207,646 is 69535440.

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

• LCM of 699, 116, 407, 579
• LCM of 830, 441, 791, 101
• LCM of 605, 768, 150, 625
• LCM of 564, 114, 814, 513
• LCM of 600, 504, 423, 241

1. What is the LCM of 468, 720, 207, 646?

Answer: LCM of 468, 720, 207, 646 is 69535440.

2. How to calculate the LCM of 468, 720, 207, 646?

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 468, 720, 207, 646.

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}.