Given numbers are 331,735,949,593,730

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

The LCM of 331,735,949,593,730 is 273820673490.

Find LCM of 331,735,949,593,730 with Prime Factorization

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

5 x 73 x 331 x 147 x 13 x 593 x 2 = 273820673490

Therefore, the lowest common multiple of 331,735,949,593,730 is 273820673490.

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.

331 x 735 x 949 x 593 x 730 = 99944545823850

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.

331 : 1, 331

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

949 : 1, 13, 73, 949

593 : 1, 593

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,735,949,593,730, is 1.

Now, the common factors can be found like this.

331:331

735:3x 5x 7x 7

949:13x 73

593:593

730:2x 5x 73

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

5x 73 = 365

Therefore, the value for common factors is 365.

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 = 99944545823850/(1x365)

LCM = 99944545823850/365

LCM = 273820673490

Thus, we can understand that the LCM of 331,735,949,593,730 is 273820673490.

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

• LCM of 509, 171, 291, 440, 817
• LCM of 172, 258, 336, 483, 879
• LCM of 229, 103, 109, 895, 981
• LCM of 466, 571, 106, 562, 272
• LCM of 737, 273, 869, 496, 370

1. What is the LCM of 331, 735, 949, 593, 730?

Answer: LCM of 331, 735, 949, 593, 730 is 273820673490.

2. How to calculate the LCM of 331, 735, 949, 593, 730?

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 331, 735, 949, 593, 730.

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}.