Given numbers are 342,560,638,920,728

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

The LCM of 342,560,638,920,728 is 9133684560.

Find LCM of 342,560,638,920,728 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 171 x 2 x 319 x 23 x 13 = 9133684560

Therefore, the lowest common multiple of 342,560,638,920,728 is 9133684560.

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.

342 x 560 x 638 x 920 x 728 = 81837813657600

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

638 : 1, 2, 11, 22, 29, 58, 319, 638

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,560,638,920,728, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

560:2x 2x 2x 2x 5x 7

638:2x 11x 29

920:2x 2x 2x 5x 23

728:2x 2x 2x 7x 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 2x 2x 5x 7 = 4480

Therefore, the value for common factors is 4480.

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 = 81837813657600/(2x4480)

LCM = 81837813657600/8960

LCM = 9133684560

Thus, we can understand that the LCM of 342,560,638,920,728 is 9133684560.

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

• LCM of 118, 887, 784, 367, 875
• LCM of 780, 853, 537, 540, 504
• LCM of 808, 650, 741, 601, 281
• LCM of 405, 979, 823, 851, 667
• LCM of 235, 566, 684, 939, 907

1. What is the LCM of 342, 560, 638, 920, 728?

Answer: LCM of 342, 560, 638, 920, 728 is 9133684560.

2. How to calculate the LCM of 342, 560, 638, 920, 728?

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 342, 560, 638, 920, 728.

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}.