Given numbers are 308,264,346,990,201

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

The LCM of 308,264,346,990,201 is 321302520.

Find LCM of 308,264,346,990,201 with Prime Factorization

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

2 x 2 x 3 x 11 x 7 x 2 x 173 x 15 x 67 = 321302520

Therefore, the lowest common multiple of 308,264,346,990,201 is 321302520.

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.

308 x 264 x 346 x 990 x 201 = 5598375108480

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

346 : 1, 2, 173, 346

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,264,346,990,201, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

264:2x 2x 2x 3x 11

346:2x 173

990:2x 3x 3x 5x 11

201:3x 67

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 2x 3x 3x 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 5598375108480/(1x17424)

LCM = 5598375108480/17424

LCM = 321302520

Thus, we can understand that the LCM of 308,264,346,990,201 is 321302520.

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

• LCM of 355, 570, 684, 360, 487
• LCM of 977, 879, 882, 330, 312
• LCM of 267, 933, 588, 784, 858
• LCM of 319, 642, 166, 742, 434
• LCM of 268, 993, 986, 594, 833

1. What is the LCM of 308, 264, 346, 990, 201?

Answer: LCM of 308, 264, 346, 990, 201 is 321302520.

2. How to calculate the LCM of 308, 264, 346, 990, 201?

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 308, 264, 346, 990, 201.

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}.