Given numbers are 218,163,136,400

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

The LCM of 218,163,136,400 is 120815600.

Find LCM of 218,163,136,400 with Prime Factorization

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

2 x 2 x 2 x 109 x 163 x 17 x 50 = 120815600

Therefore, the lowest common multiple of 218,163,136,400 is 120815600.

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 163 x 136 x 400 = 1933049600

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

163 : 1, 163

136 : 1, 2, 4, 8, 17, 34, 68, 136

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,163,136,400, is 1.

Now, the common factors can be found like this.

218:2x 109

163:163

136:2x 2x 2x 17

400:2x 2x 2x 2x 5x 5

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 1933049600/(1x16)

LCM = 1933049600/16

LCM = 120815600

Thus, we can understand that the LCM of 218,163,136,400 is 120815600.

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

• LCM of 115, 443, 178, 386
• LCM of 768, 604, 466, 495
• LCM of 751, 447, 677, 760
• LCM of 826, 923, 733, 852
• LCM of 636, 698, 112, 156

1. What is the LCM of 218, 163, 136, 400?

Answer: LCM of 218, 163, 136, 400 is 120815600.

2. How to calculate the LCM of 218, 163, 136, 400?

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, 163, 136, 400.

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}.