Given numbers are 793,728,409

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

The LCM of 793,728,409 is 18162872.

Find LCM of 793,728,409 with Prime Factorization

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

13 x 61 x 56 x 409 = 18162872

Therefore, the lowest common multiple of 793,728,409 is 18162872.

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.

793 x 728 x 409 = 236117336

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.

793 : 1, 13, 61, 793

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,728,409, is 1.

Now, the common factors can be found like this.

793:13x 61

728:2x 2x 2x 7x 13

409:409

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

13 = 13

Therefore, the value for common factors is 13.

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 = 236117336/(1x13)

LCM = 236117336/13

LCM = 18162872

Thus, we can understand that the LCM of 793,728,409 is 18162872.

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

• LCM of 135, 889, 824
• LCM of 314, 880, 582
• LCM of 530, 173, 919
• LCM of 590, 431, 599
• LCM of 111, 644, 439

1. What is the LCM of 793, 728, 409?

Answer: LCM of 793, 728, 409 is 18162872.

2. How to calculate the LCM of 793, 728, 409?

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 793, 728, 409.

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}.