Given numbers are 218,509,162,121,408

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

The LCM of 218,509,162,121,408 is 73952622216.

Find LCM of 218,509,162,121,408 with Prime Factorization

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

2 x 3 x 109 x 509 x 27 x 121 x 68 = 73952622216

Therefore, the lowest common multiple of 218,509,162,121,408 is 73952622216.

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 509 x 162 x 121 x 408 = 887431466592

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

509 : 1, 509

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

121 : 1, 11, 121

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,509,162,121,408, is 1.

Now, the common factors can be found like this.

218:2x 109

509:509

162:2x 3x 3x 3x 3

121:11x 11

408:2x 2x 2x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 887431466592/(1x12)

LCM = 887431466592/12

LCM = 73952622216

Thus, we can understand that the LCM of 218,509,162,121,408 is 73952622216.

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

• LCM of 876, 784, 980, 602, 989
• LCM of 238, 112, 935, 483, 100
• LCM of 400, 621, 839, 181, 228
• LCM of 433, 810, 150, 734, 179
• LCM of 214, 146, 903, 515, 113

1. What is the LCM of 218, 509, 162, 121, 408?

Answer: LCM of 218, 509, 162, 121, 408 is 73952622216.

2. How to calculate the LCM of 218, 509, 162, 121, 408?

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, 509, 162, 121, 408.

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}.