Given numbers are 430,576,198,251,399

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

The LCM of 430,576,198,251,399 is 45475657920.

Find LCM of 430,576,198,251,399 with Prime Factorization

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

2 x 3 x 3 x 215 x 32 x 11 x 251 x 133 = 45475657920

Therefore, the lowest common multiple of 430,576,198,251,399 is 45475657920.

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 576 x 198 x 251 x 399 = 4911371055360

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

251 : 1, 251

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,576,198,251,399, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

576:2x 2x 2x 2x 2x 2x 3x 3

198:2x 3x 3x 11

251:251

399:3x 7x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 4911371055360/(1x108)

LCM = 4911371055360/108

LCM = 45475657920

Thus, we can understand that the LCM of 430,576,198,251,399 is 45475657920.

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

• LCM of 166, 296, 798, 900, 805
• LCM of 381, 857, 598, 152, 128
• LCM of 122, 931, 122, 363, 248
• LCM of 355, 165, 278, 957, 812
• LCM of 124, 361, 162, 890, 422

1. What is the LCM of 430, 576, 198, 251, 399?

Answer: LCM of 430, 576, 198, 251, 399 is 45475657920.

2. How to calculate the LCM of 430, 576, 198, 251, 399?

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, 576, 198, 251, 399.

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}.