Given numbers are 199,288,364,470

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

The LCM of 199,288,364,470 is 1225617120.

Find LCM of 199,288,364,470 with Prime Factorization

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

2 x 2 x 199 x 72 x 91 x 235 = 1225617120

Therefore, the lowest common multiple of 199,288,364,470 is 1225617120.

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.

199 x 288 x 364 x 470 = 9804936960

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.

199 : 1, 199

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,288,364,470, is 1.

Now, the common factors can be found like this.

199:199

288:2x 2x 2x 2x 2x 3x 3

364:2x 2x 7x 13

470:2x 5x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9804936960/(1x8)

LCM = 9804936960/8

LCM = 1225617120

Thus, we can understand that the LCM of 199,288,364,470 is 1225617120.

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

• LCM of 520, 208, 469, 496
• LCM of 501, 662, 323, 403
• LCM of 422, 951, 253, 409
• LCM of 636, 695, 528, 908
• LCM of 976, 736, 829, 300

1. What is the LCM of 199, 288, 364, 470?

Answer: LCM of 199, 288, 364, 470 is 1225617120.

2. How to calculate the LCM of 199, 288, 364, 470?

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 199, 288, 364, 470.

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}.