Given numbers are 218,40,388

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

The LCM of 218,40,388 is 422920.

Find LCM of 218,40,388 with Prime Factorization

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

2 x 2 x 109 x 10 x 97 = 422920

Therefore, the lowest common multiple of 218,40,388 is 422920.

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.

218 x 40 x 388 = 3383360

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.

218 : 1, 2, 109, 218

40 : 1, 2, 4, 5, 8, 10, 20, 40

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,40,388, is 2.

Now, the common factors can be found like this.

218:2x 109

40:2x 2x 2x 5

388:2x 2x 97

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3383360/(2x4)

LCM = 3383360/8

LCM = 422920

Thus, we can understand that the LCM of 218,40,388 is 422920.

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

• LCM of 241, 73, 415
• LCM of 983, 42, 539
• LCM of 333, 83, 162
• LCM of 718, 35, 465
• LCM of 827, 66, 525

1. What is the LCM of 218, 40, 388?

Answer: LCM of 218, 40, 388 is 422920.

2. How to calculate the LCM of 218, 40, 388?

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 218, 40, 388.

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}.