Given numbers are 728,759,395,121,559

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

The LCM of 728,759,395,121,559 is 103236052920.

Find LCM of 728,759,395,121,559 with Prime Factorization

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

11 x 13 x 56 x 69 x 395 x 11 x 43 = 103236052920

Therefore, the lowest common multiple of 728,759,395,121,559 is 103236052920.

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.

728 x 759 x 395 x 121 x 559 = 14762755567560

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.

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

395 : 1, 5, 79, 395

121 : 1, 11, 121

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,759,395,121,559, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

759:3x 11x 23

395:5x 79

121:11x 11

559:13x 43

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 14762755567560/(1x143)

LCM = 14762755567560/143

LCM = 103236052920

Thus, we can understand that the LCM of 728,759,395,121,559 is 103236052920.

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

• LCM of 740, 344, 704, 855, 299
• LCM of 971, 488, 253, 968, 905
• LCM of 240, 699, 646, 577, 331
• LCM of 382, 120, 789, 886, 527
• LCM of 785, 592, 645, 277, 780

1. What is the LCM of 728, 759, 395, 121, 559?

Answer: LCM of 728, 759, 395, 121, 559 is 103236052920.

2. How to calculate the LCM of 728, 759, 395, 121, 559?

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 728, 759, 395, 121, 559.

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}.