Given numbers are 430,780,450,912

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

The LCM of 430,780,450,912 is 38235600.

Find LCM of 430,780,450,912 with Prime Factorization

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

2 x 2 x 3 x 5 x 43 x 13 x 15 x 76 = 38235600

Therefore, the lowest common multiple of 430,780,450,912 is 38235600.

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 780 x 450 x 912 = 137648160000

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,780,450,912, is 2.

Now, the common factors can be found like this.

430:2x 5x 43

780:2x 2x 3x 5x 13

450:2x 3x 3x 5x 5

912:2x 2x 2x 2x 3x 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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 137648160000/(2x1800)

LCM = 137648160000/3600

LCM = 38235600

Thus, we can understand that the LCM of 430,780,450,912 is 38235600.

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

• LCM of 121, 278, 132, 794
• LCM of 515, 983, 786, 781
• LCM of 961, 814, 173, 422
• LCM of 144, 546, 905, 798
• LCM of 691, 823, 103, 787

1. What is the LCM of 430, 780, 450, 912?

Answer: LCM of 430, 780, 450, 912 is 38235600.

2. How to calculate the LCM of 430, 780, 450, 912?

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, 780, 450, 912.

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}.