Given numbers are 206,335,430,317,372

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

The LCM of 206,335,430,317,372 is 174965607660.

Find LCM of 206,335,430,317,372 with Prime Factorization

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

2 x 5 x 103 x 67 x 43 x 317 x 186 = 174965607660

Therefore, the lowest common multiple of 206,335,430,317,372 is 174965607660.

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.

206 x 335 x 430 x 317 x 372 = 3499312153200

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.

206 : 1, 2, 103, 206

335 : 1, 5, 67, 335

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

317 : 1, 317

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,335,430,317,372, is 1.

Now, the common factors can be found like this.

206:2x 103

335:5x 67

430:2x 5x 43

317:317

372:2x 2x 3x 31

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 5 = 20

Therefore, the value for common factors is 20.

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 = 3499312153200/(1x20)

LCM = 3499312153200/20

LCM = 174965607660

Thus, we can understand that the LCM of 206,335,430,317,372 is 174965607660.

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

• LCM of 969, 884, 705, 716, 173
• LCM of 319, 351, 591, 695, 532
• LCM of 688, 287, 461, 156, 434
• LCM of 501, 987, 723, 481, 783
• LCM of 414, 560, 838, 342, 101

1. What is the LCM of 206, 335, 430, 317, 372?

Answer: LCM of 206, 335, 430, 317, 372 is 174965607660.

2. How to calculate the LCM of 206, 335, 430, 317, 372?

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 206, 335, 430, 317, 372.

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}.