Given numbers are 321,462,507,344,765

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

The LCM of 321,462,507,344,765 is 366421615560.

Find LCM of 321,462,507,344,765 with Prime Factorization

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

2 x 3 x 107 x 77 x 169 x 172 x 255 = 366421615560

Therefore, the lowest common multiple of 321,462,507,344,765 is 366421615560.

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.

321 x 462 x 507 x 344 x 765 = 19786767240240

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.

321 : 1, 3, 107, 321

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

507 : 1, 3, 13, 39, 169, 507

344 : 1, 2, 4, 8, 43, 86, 172, 344

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,462,507,344,765, is 1.

Now, the common factors can be found like this.

321:3x 107

462:2x 3x 7x 11

507:3x 13x 13

344:2x 2x 2x 43

765:3x 3x 5x 17

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 19786767240240/(1x54)

LCM = 19786767240240/54

LCM = 366421615560

Thus, we can understand that the LCM of 321,462,507,344,765 is 366421615560.

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

• LCM of 395, 491, 796, 174, 616
• LCM of 840, 948, 176, 264, 340
• LCM of 649, 793, 980, 925, 731
• LCM of 288, 573, 274, 747, 208
• LCM of 510, 924, 414, 598, 387

1. What is the LCM of 321, 462, 507, 344, 765?

Answer: LCM of 321, 462, 507, 344, 765 is 366421615560.

2. How to calculate the LCM of 321, 462, 507, 344, 765?

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 321, 462, 507, 344, 765.

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}.