Given numbers are 515,410,692,742,729

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

The LCM of 515,410,692,742,729 is 3951833315220.

Find LCM of 515,410,692,742,729 with Prime Factorization

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

2 x 5 x 103 x 41 x 346 x 371 x 729 = 3951833315220

Therefore, the lowest common multiple of 515,410,692,742,729 is 3951833315220.

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.

515 x 410 x 692 x 742 x 729 = 79036666304400

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.

515 : 1, 5, 103, 515

410 : 1, 2, 5, 10, 41, 82, 205, 410

692 : 1, 2, 4, 173, 346, 692

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,410,692,742,729, is 1.

Now, the common factors can be found like this.

515:5x 103

410:2x 5x 41

692:2x 2x 173

742:2x 7x 53

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

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 5 = 20

Therefore, the value for common factors is 20.

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 = 79036666304400/(1x20)

LCM = 79036666304400/20

LCM = 3951833315220

Thus, we can understand that the LCM of 515,410,692,742,729 is 3951833315220.

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

• LCM of 263, 536, 783, 702, 607
• LCM of 676, 997, 254, 445, 287
• LCM of 272, 908, 329, 682, 644
• LCM of 817, 579, 835, 589, 749
• LCM of 106, 144, 763, 137, 119

1. What is the LCM of 515, 410, 692, 742, 729?

Answer: LCM of 515, 410, 692, 742, 729 is 3951833315220.

2. How to calculate the LCM of 515, 410, 692, 742, 729?

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 515, 410, 692, 742, 729.

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}.