Given numbers are 401,228,585

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

The LCM of 401,228,585 is 17828460.

Find LCM of 401,228,585 with Prime Factorization

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

3 x 401 x 76 x 195 = 17828460

Therefore, the lowest common multiple of 401,228,585 is 17828460.

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.

401 x 228 x 585 = 53485380

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.

401 : 1, 401

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,228,585, is 1.

Now, the common factors can be found like this.

401:401

228:2x 2x 3x 19

585:3x 3x 5x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 53485380/(1x3)

LCM = 53485380/3

LCM = 17828460

Thus, we can understand that the LCM of 401,228,585 is 17828460.

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

• LCM of 942, 714, 947
• LCM of 521, 612, 460
• LCM of 721, 293, 469
• LCM of 284, 708, 408
• LCM of 481, 639, 673

1. What is the LCM of 401, 228, 585?

Answer: LCM of 401, 228, 585 is 17828460.

2. How to calculate the LCM of 401, 228, 585?

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 401, 228, 585.

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}.