Given numbers are 305,536,664,172,829

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

The LCM of 305,536,664,172,829 is 483688439480.

Find LCM of 305,536,664,172,829 with Prime Factorization

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

2 x 2 x 2 x 305 x 67 x 83 x 43 x 829 = 483688439480

Therefore, the lowest common multiple of 305,536,664,172,829 is 483688439480.

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.

305 x 536 x 664 x 172 x 829 = 15478030063360

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.

305 : 1, 5, 61, 305

536 : 1, 2, 4, 8, 67, 134, 268, 536

664 : 1, 2, 4, 8, 83, 166, 332, 664

172 : 1, 2, 4, 43, 86, 172

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,536,664,172,829, is 1.

Now, the common factors can be found like this.

305:5x 61

536:2x 2x 2x 67

664:2x 2x 2x 83

172:2x 2x 43

829:829

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 2 = 32

Therefore, the value for common factors is 32.

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 = 15478030063360/(1x32)

LCM = 15478030063360/32

LCM = 483688439480

Thus, we can understand that the LCM of 305,536,664,172,829 is 483688439480.

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

• LCM of 303, 753, 969, 306, 406
• LCM of 317, 832, 914, 295, 948
• LCM of 574, 921, 330, 398, 852
• LCM of 271, 389, 733, 341, 742
• LCM of 415, 581, 880, 694, 418

1. What is the LCM of 305, 536, 664, 172, 829?

Answer: LCM of 305, 536, 664, 172, 829 is 483688439480.

2. How to calculate the LCM of 305, 536, 664, 172, 829?

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 305, 536, 664, 172, 829.

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}.