Given numbers are 244,497,490,704,924

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

The LCM of 244,497,490,704,924 is 2241032640.

Find LCM of 244,497,490,704,924 with Prime Factorization

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

2 x 2 x 7 x 11 x 61 x 71 x 35 x 16 x 3 = 2241032640

Therefore, the lowest common multiple of 244,497,490,704,924 is 2241032640.

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.

244 x 497 x 490 x 704 x 924 = 38653330974720

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.

244 : 1, 2, 4, 61, 122, 244

497 : 1, 7, 71, 497

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,497,490,704,924, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

497:7x 71

490:2x 5x 7x 7

704:2x 2x 2x 2x 2x 2x 11

924:2x 2x 3x 7x 11

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 7x 7x 11 = 17248

Therefore, the value for common factors is 17248.

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 = 38653330974720/(1x17248)

LCM = 38653330974720/17248

LCM = 2241032640

Thus, we can understand that the LCM of 244,497,490,704,924 is 2241032640.

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

• LCM of 369, 257, 891, 872, 598
• LCM of 213, 340, 997, 408, 358
• LCM of 514, 912, 602, 298, 193
• LCM of 768, 757, 382, 877, 825
• LCM of 753, 272, 182, 213, 264

1. What is the LCM of 244, 497, 490, 704, 924?

Answer: LCM of 244, 497, 490, 704, 924 is 2241032640.

2. How to calculate the LCM of 244, 497, 490, 704, 924?

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 244, 497, 490, 704, 924.

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}.