Given numbers are 308,684,201,582,260

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

The LCM of 308,684,201,582,260 is 22248806580.

Find LCM of 308,684,201,582,260 with Prime Factorization

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

2 x 2 x 3 x 77 x 57 x 67 x 97 x 65 = 22248806580

Therefore, the lowest common multiple of 308,684,201,582,260 is 22248806580.

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 684 x 201 x 582 x 260 = 6407656295040

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

201 : 1, 3, 67, 201

582 : 1, 2, 3, 6, 97, 194, 291, 582

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,684,201,582,260, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

684:2x 2x 3x 3x 19

201:3x 67

582:2x 3x 97

260:2x 2x 5x 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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 6407656295040/(1x288)

LCM = 6407656295040/288

LCM = 22248806580

Thus, we can understand that the LCM of 308,684,201,582,260 is 22248806580.

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

• LCM of 900, 615, 554, 756, 720
• LCM of 828, 704, 138, 509, 778
• LCM of 334, 569, 816, 707, 233
• LCM of 529, 989, 158, 906, 797
• LCM of 708, 563, 745, 564, 888

1. What is the LCM of 308, 684, 201, 582, 260?

Answer: LCM of 308, 684, 201, 582, 260 is 22248806580.

2. How to calculate the LCM of 308, 684, 201, 582, 260?

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, 684, 201, 582, 260.

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}.