Given numbers are 715,529,408,990

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

The LCM of 715,529,408,990 is 462959640.

Find LCM of 715,529,408,990 with Prime Factorization

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

2 x 3 x 5 x 11 x 13 x 529 x 68 x 3 = 462959640

Therefore, the lowest common multiple of 715,529,408,990 is 462959640.

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.

715 x 529 x 408 x 990 = 152776681200

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

529 : 1, 23, 529

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,529,408,990, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

529:23x 23

408:2x 2x 2x 3x 17

990:2x 3x 3x 5x 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 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 152776681200/(1x330)

LCM = 152776681200/330

LCM = 462959640

Thus, we can understand that the LCM of 715,529,408,990 is 462959640.

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

• LCM of 454, 609, 521, 683
• LCM of 711, 705, 474, 757
• LCM of 693, 843, 870, 688
• LCM of 898, 559, 133, 679
• LCM of 219, 736, 899, 398

1. What is the LCM of 715, 529, 408, 990?

Answer: LCM of 715, 529, 408, 990 is 462959640.

2. How to calculate the LCM of 715, 529, 408, 990?

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 715, 529, 408, 990.

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}.