Given numbers are 765,723,516,504

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

The LCM of 765,723,516,504 is 443950920.

Find LCM of 765,723,516,504 with Prime Factorization

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

2 x 2 x 3 x 3 x 85 x 241 x 43 x 14 = 443950920

Therefore, the lowest common multiple of 765,723,516,504 is 443950920.

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.

765 x 723 x 516 x 504 = 143840098080

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.

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

723 : 1, 3, 241, 723

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,723,516,504, is 3.

Now, the common factors can be found like this.

765:3x 3x 5x 17

723:3x 241

516:2x 2x 3x 43

504:2x 2x 2x 3x 3x 7

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 143840098080/(3x108)

LCM = 143840098080/324

LCM = 443950920

Thus, we can understand that the LCM of 765,723,516,504 is 443950920.

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

• LCM of 115, 546, 267, 153
• LCM of 404, 907, 183, 299
• LCM of 655, 330, 117, 634
• LCM of 745, 607, 821, 173
• LCM of 331, 877, 113, 414

1. What is the LCM of 765, 723, 516, 504?

Answer: LCM of 765, 723, 516, 504 is 443950920.

2. How to calculate the LCM of 765, 723, 516, 504?

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 765, 723, 516, 504.

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}.