Given numbers are 430,674,728,792

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

The LCM of 430,674,728,792 is 5221976760.

Find LCM of 430,674,728,792 with Prime Factorization

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

2 x 2 x 2 x 215 x 337 x 91 x 99 = 5221976760

Therefore, the lowest common multiple of 430,674,728,792 is 5221976760.

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.

430 x 674 x 728 x 792 = 167103256320

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.

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

674 : 1, 2, 337, 674

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,674,728,792, is 2.

Now, the common factors can be found like this.

430:2x 5x 43

674:2x 337

728:2x 2x 2x 7x 13

792:2x 2x 2x 3x 3x 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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 167103256320/(2x16)

LCM = 167103256320/32

LCM = 5221976760

Thus, we can understand that the LCM of 430,674,728,792 is 5221976760.

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

• LCM of 255, 951, 486, 272
• LCM of 587, 737, 168, 916
• LCM of 725, 521, 610, 982
• LCM of 314, 545, 769, 798
• LCM of 451, 353, 333, 652

1. What is the LCM of 430, 674, 728, 792?

Answer: LCM of 430, 674, 728, 792 is 5221976760.

2. How to calculate the LCM of 430, 674, 728, 792?

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 430, 674, 728, 792.

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}.