Given numbers are 723,468,430,462

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

The LCM of 723,468,430,462 is 1867205340.

Find LCM of 723,468,430,462 with Prime Factorization

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

2 x 3 x 241 x 78 x 215 x 77 = 1867205340

Therefore, the lowest common multiple of 723,468,430,462 is 1867205340.

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.

723 x 468 x 430 x 462 = 67219392240

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.

723 : 1, 3, 241, 723

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,468,430,462, is 1.

Now, the common factors can be found like this.

723:3x 241

468:2x 2x 3x 3x 13

430:2x 5x 43

462:2x 3x 7x 11

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 = 67219392240/(1x36)

LCM = 67219392240/36

LCM = 1867205340

Thus, we can understand that the LCM of 723,468,430,462 is 1867205340.

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

• LCM of 341, 855, 455, 207
• LCM of 584, 118, 198, 126
• LCM of 518, 781, 883, 213
• LCM of 548, 870, 105, 453
• LCM of 710, 622, 104, 494

1. What is the LCM of 723, 468, 430, 462?

Answer: LCM of 723, 468, 430, 462 is 1867205340.

2. How to calculate the LCM of 723, 468, 430, 462?

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 723, 468, 430, 462.

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}.