Given numbers are 218,205,344,254

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

The LCM of 218,205,344,254 is 976208360.

Find LCM of 218,205,344,254 with Prime Factorization

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

2 x 109 x 205 x 172 x 127 = 976208360

Therefore, the lowest common multiple of 218,205,344,254 is 976208360.

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 205 x 344 x 254 = 3904833440

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

205 : 1, 5, 41, 205

344 : 1, 2, 4, 8, 43, 86, 172, 344

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,205,344,254, is 1.

Now, the common factors can be found like this.

218:2x 109

205:5x 41

344:2x 2x 2x 43

254:2x 127

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 = 3904833440/(1x4)

LCM = 3904833440/4

LCM = 976208360

Thus, we can understand that the LCM of 218,205,344,254 is 976208360.

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

• LCM of 740, 837, 780, 381
• LCM of 329, 108, 275, 443
• LCM of 809, 136, 699, 999
• LCM of 120, 266, 411, 619
• LCM of 530, 473, 675, 436

1. What is the LCM of 218, 205, 344, 254?

Answer: LCM of 218, 205, 344, 254 is 976208360.

2. How to calculate the LCM of 218, 205, 344, 254?

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, 205, 344, 254.

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}.