Given numbers are 409,457,460,145,365

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

The LCM of 409,457,460,145,365 is 182019617660.

Find LCM of 409,457,460,145,365 with Prime Factorization

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

5 x 409 x 457 x 92 x 29 x 73 = 182019617660

Therefore, the lowest common multiple of 409,457,460,145,365 is 182019617660.

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.

409 x 457 x 460 x 145 x 365 = 4550490441500

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.

409 : 1, 409

457 : 1, 457

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

145 : 1, 5, 29, 145

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,457,460,145,365, is 1.

Now, the common factors can be found like this.

409:409

457:457

460:2x 2x 5x 23

145:5x 29

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 = 4550490441500/(1x25)

LCM = 4550490441500/25

LCM = 182019617660

Thus, we can understand that the LCM of 409,457,460,145,365 is 182019617660.

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

• LCM of 803, 356, 431, 792, 977
• LCM of 221, 404, 264, 164, 862
• LCM of 380, 443, 932, 687, 177
• LCM of 940, 861, 662, 187, 997
• LCM of 626, 245, 891, 709, 833

1. What is the LCM of 409, 457, 460, 145, 365?

Answer: LCM of 409, 457, 460, 145, 365 is 182019617660.

2. How to calculate the LCM of 409, 457, 460, 145, 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 409, 457, 460, 145, 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}.