Given numbers are 308,497,289,287,210

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

The LCM of 308,497,289,287,210 is 3886708980.

Find LCM of 308,497,289,287,210 with Prime Factorization

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

2 x 7 x 22 x 71 x 289 x 41 x 15 = 3886708980

Therefore, the lowest common multiple of 308,497,289,287,210 is 3886708980.

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 497 x 289 x 287 x 210 = 2666282360280

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

497 : 1, 7, 71, 497

289 : 1, 17, 289

287 : 1, 7, 41, 287

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,497,289,287,210, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

497:7x 71

289:17x 17

287:7x 41

210:2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 7x 7 = 686

Therefore, the value for common factors is 686.

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 = 2666282360280/(1x686)

LCM = 2666282360280/686

LCM = 3886708980

Thus, we can understand that the LCM of 308,497,289,287,210 is 3886708980.

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

• LCM of 974, 779, 828, 535, 609
• LCM of 650, 781, 707, 681, 122
• LCM of 352, 713, 769, 909, 615
• LCM of 515, 387, 628, 966, 450
• LCM of 476, 260, 349, 525, 493

1. What is the LCM of 308, 497, 289, 287, 210?

Answer: LCM of 308, 497, 289, 287, 210 is 3886708980.

2. How to calculate the LCM of 308, 497, 289, 287, 210?

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, 497, 289, 287, 210.

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}.