Given numbers are 407,363,217

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

The LCM of 407,363,217 is 2914527.

Find LCM of 407,363,217 with Prime Factorization

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

11 x 37 x 33 x 217 = 2914527

Therefore, the lowest common multiple of 407,363,217 is 2914527.

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.

407 x 363 x 217 = 32059797

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.

407 : 1, 11, 37, 407

363 : 1, 3, 11, 33, 121, 363

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,363,217, is 1.

Now, the common factors can be found like this.

407:11x 37

363:3x 11x 11

217:7x 31

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

11 = 11

Therefore, the value for common factors is 11.

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 = 32059797/(1x11)

LCM = 32059797/11

LCM = 2914527

Thus, we can understand that the LCM of 407,363,217 is 2914527.

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

• LCM of 363, 234, 505
• LCM of 298, 112, 845
• LCM of 480, 886, 411
• LCM of 315, 757, 588
• LCM of 880, 256, 670

1. What is the LCM of 407, 363, 217?

Answer: LCM of 407, 363, 217 is 2914527.

2. How to calculate the LCM of 407, 363, 217?

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 407, 363, 217.

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}.