Given numbers are 464,704,365

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

The LCM of 464,704,365 is 7451840.

Find LCM of 464,704,365 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 44 x 365 = 7451840

Therefore, the lowest common multiple of 464,704,365 is 7451840.

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.

464 x 704 x 365 = 119229440

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,704,365, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

704:2x 2x 2x 2x 2x 2x 11

365:5x 73

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 119229440/(1x16)

LCM = 119229440/16

LCM = 7451840

Thus, we can understand that the LCM of 464,704,365 is 7451840.

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

• LCM of 929, 129, 541
• LCM of 235, 830, 544
• LCM of 540, 574, 888
• LCM of 425, 288, 286
• LCM of 281, 200, 520

1. What is the LCM of 464, 704, 365?

Answer: LCM of 464, 704, 365 is 7451840.

2. How to calculate the LCM of 464, 704, 365?

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 464, 704, 365.

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}.