Given numbers are 729,443,689,416

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

The LCM of 729,443,689,416 is 7120335456.

Find LCM of 729,443,689,416 with Prime Factorization

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

13 x 729 x 443 x 53 x 32 = 7120335456

Therefore, the lowest common multiple of 729,443,689,416 is 7120335456.

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.

729 x 443 x 689 x 416 = 92564360928

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.

729 : 1, 3, 9, 27, 81, 243, 729

443 : 1, 443

689 : 1, 13, 53, 689

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,443,689,416, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

443:443

689:13x 53

416:2x 2x 2x 2x 2x 13

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 = 92564360928/(1x13)

LCM = 92564360928/13

LCM = 7120335456

Thus, we can understand that the LCM of 729,443,689,416 is 7120335456.

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

• LCM of 863, 654, 584, 573
• LCM of 792, 808, 109, 633
• LCM of 978, 807, 158, 337
• LCM of 860, 735, 753, 320
• LCM of 854, 718, 552, 954

1. What is the LCM of 729, 443, 689, 416?

Answer: LCM of 729, 443, 689, 416 is 7120335456.

2. How to calculate the LCM of 729, 443, 689, 416?

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 729, 443, 689, 416.

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}.