Given numbers are 488,442,408,609,497

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

The LCM of 488,442,408,609,497 is 4663239672.

Find LCM of 488,442,408,609,497 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 17 x 61 x 13 x 1 x 29 x 71 = 4663239672

Therefore, the lowest common multiple of 488,442,408,609,497 is 4663239672.

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.

488 x 442 x 408 x 609 x 497 = 26636425006464

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

442 : 1, 2, 13, 17, 26, 34, 221, 442

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

609 : 1, 3, 7, 21, 29, 87, 203, 609

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,442,408,609,497, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

442:2x 13x 17

408:2x 2x 2x 3x 17

609:3x 7x 29

497:7x 71

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 7x 17 = 5712

Therefore, the value for common factors is 5712.

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 = 26636425006464/(1x5712)

LCM = 26636425006464/5712

LCM = 4663239672

Thus, we can understand that the LCM of 488,442,408,609,497 is 4663239672.

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

• LCM of 253, 670, 339, 105, 936
• LCM of 108, 566, 625, 758, 475
• LCM of 185, 934, 716, 696, 107
• LCM of 453, 768, 783, 672, 308
• LCM of 943, 883, 801, 103, 445

1. What is the LCM of 488, 442, 408, 609, 497?

Answer: LCM of 488, 442, 408, 609, 497 is 4663239672.

2. How to calculate the LCM of 488, 442, 408, 609, 497?

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 488, 442, 408, 609, 497.

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}.