Given numbers are 230,516,214,702,929

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

The LCM of 230,516,214,702,929 is 690133160340.

Find LCM of 230,516,214,702,929 with Prime Factorization

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

2 x 3 x 115 x 86 x 107 x 117 x 929 = 690133160340

Therefore, the lowest common multiple of 230,516,214,702,929 is 690133160340.

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.

230 x 516 x 214 x 702 x 929 = 16563195848160

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

214 : 1, 2, 107, 214

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,516,214,702,929, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

516:2x 2x 3x 43

214:2x 107

702:2x 3x 3x 3x 13

929:929

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 16563195848160/(1x24)

LCM = 16563195848160/24

LCM = 690133160340

Thus, we can understand that the LCM of 230,516,214,702,929 is 690133160340.

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

• LCM of 503, 877, 274, 742, 858
• LCM of 191, 748, 912, 254, 500
• LCM of 330, 881, 230, 838, 973
• LCM of 261, 290, 626, 736, 193
• LCM of 948, 570, 904, 729, 495

1. What is the LCM of 230, 516, 214, 702, 929?

Answer: LCM of 230, 516, 214, 702, 929 is 690133160340.

2. How to calculate the LCM of 230, 516, 214, 702, 929?

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 230, 516, 214, 702, 929.

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}.