Given numbers are 869,215,460,365

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

The LCM of 869,215,460,365 is 1254783860.

Find LCM of 869,215,460,365 with Prime Factorization

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

5 x 869 x 43 x 92 x 73 = 1254783860

Therefore, the lowest common multiple of 869,215,460,365 is 1254783860.

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.

869 x 215 x 460 x 365 = 31369596500

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.

869 : 1, 11, 79, 869

215 : 1, 5, 43, 215

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,215,460,365, is 1.

Now, the common factors can be found like this.

869:11x 79

215:5x 43

460:2x 2x 5x 23

365:5x 73

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 31369596500/(1x25)

LCM = 31369596500/25

LCM = 1254783860

Thus, we can understand that the LCM of 869,215,460,365 is 1254783860.

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

• LCM of 773, 696, 896, 733
• LCM of 829, 451, 404, 161
• LCM of 246, 942, 268, 720
• LCM of 418, 291, 866, 281
• LCM of 145, 523, 617, 367

1. What is the LCM of 869, 215, 460, 365?

Answer: LCM of 869, 215, 460, 365 is 1254783860.

2. How to calculate the LCM of 869, 215, 460, 365?

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 869, 215, 460, 365.

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}.