Given numbers are 729,217,958,742

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

The LCM of 729,217,958,742 is 8032091382.

Find LCM of 729,217,958,742 with Prime Factorization

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

2 x 7 x 729 x 31 x 479 x 53 = 8032091382

Therefore, the lowest common multiple of 729,217,958,742 is 8032091382.

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 217 x 958 x 742 = 112449279348

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

217 : 1, 7, 31, 217

958 : 1, 2, 479, 958

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,217,958,742, is 1.

Now, the common factors can be found like this.

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

217:7x 31

958:2x 479

742:2x 7x 53

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 112449279348/(1x14)

LCM = 112449279348/14

LCM = 8032091382

Thus, we can understand that the LCM of 729,217,958,742 is 8032091382.

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

• LCM of 456, 670, 262, 140
• LCM of 921, 243, 257, 875
• LCM of 660, 558, 798, 568
• LCM of 866, 528, 993, 905
• LCM of 527, 256, 537, 109

1. What is the LCM of 729, 217, 958, 742?

Answer: LCM of 729, 217, 958, 742 is 8032091382.

2. How to calculate the LCM of 729, 217, 958, 742?

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, 217, 958, 742.

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}.