Given numbers are 430,310,755,901,416

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

The LCM of 430,310,755,901,416 is 377220444640.

Find LCM of 430,310,755,901,416 with Prime Factorization

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

2 x 5 x 43 x 31 x 151 x 901 x 208 = 377220444640

Therefore, the lowest common multiple of 430,310,755,901,416 is 377220444640.

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 310 x 755 x 901 x 416 = 37722044464000

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

755 : 1, 5, 151, 755

901 : 1, 17, 53, 901

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,310,755,901,416, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

310:2x 5x 31

755:5x 151

901:17x 53

416:2x 2x 2x 2x 2x 13

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 37722044464000/(1x100)

LCM = 37722044464000/100

LCM = 377220444640

Thus, we can understand that the LCM of 430,310,755,901,416 is 377220444640.

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

• LCM of 180, 993, 463, 434, 620
• LCM of 753, 357, 181, 578, 169
• LCM of 787, 133, 217, 604, 586
• LCM of 569, 481, 868, 973, 267
• LCM of 938, 655, 992, 802, 708

1. What is the LCM of 430, 310, 755, 901, 416?

Answer: LCM of 430, 310, 755, 901, 416 is 377220444640.

2. How to calculate the LCM of 430, 310, 755, 901, 416?

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, 310, 755, 901, 416.

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}.