Given numbers are 218,436,242,214

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

The LCM of 218,436,242,214 is 5644892.

Find LCM of 218,436,242,214 with Prime Factorization

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

2 x 109 x 1 x 2 x 121 x 107 = 5644892

Therefore, the lowest common multiple of 218,436,242,214 is 5644892.

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 436 x 242 x 214 = 4922345824

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

436 : 1, 2, 4, 109, 218, 436

242 : 1, 2, 11, 22, 121, 242

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,436,242,214, is 2.

Now, the common factors can be found like this.

218:2x 109

436:2x 2x 109

242:2x 11x 11

214:2x 107

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 109 = 436

Therefore, the value for common factors is 436.

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 = 4922345824/(2x436)

LCM = 4922345824/872

LCM = 5644892

Thus, we can understand that the LCM of 218,436,242,214 is 5644892.

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

• LCM of 106, 463, 632, 795
• LCM of 632, 698, 486, 485
• LCM of 375, 328, 901, 211
• LCM of 362, 837, 105, 249
• LCM of 405, 686, 289, 460

1. What is the LCM of 218, 436, 242, 214?

Answer: LCM of 218, 436, 242, 214 is 5644892.

2. How to calculate the LCM of 218, 436, 242, 214?

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, 436, 242, 214.

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}.