Given numbers are 741,142,208,593

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

The LCM of 741,142,208,593 is 499173168.

Find LCM of 741,142,208,593 with Prime Factorization

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

2 x 13 x 57 x 71 x 8 x 593 = 499173168

Therefore, the lowest common multiple of 741,142,208,593 is 499173168.

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.

741 x 142 x 208 x 593 = 12978502368

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

142 : 1, 2, 71, 142

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,142,208,593, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

142:2x 71

208:2x 2x 2x 2x 13

593:593

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 12978502368/(1x26)

LCM = 12978502368/26

LCM = 499173168

Thus, we can understand that the LCM of 741,142,208,593 is 499173168.

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

• LCM of 684, 984, 286, 670
• LCM of 720, 871, 566, 437
• LCM of 675, 369, 634, 667
• LCM of 287, 524, 929, 748
• LCM of 162, 342, 396, 697

1. What is the LCM of 741, 142, 208, 593?

Answer: LCM of 741, 142, 208, 593 is 499173168.

2. How to calculate the LCM of 741, 142, 208, 593?

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 741, 142, 208, 593.

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}.