Given numbers are 113,205,328,214

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

The LCM of 113,205,328,214 is 19829240.

Find LCM of 113,205,328,214 with Prime Factorization

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

2 x 41 x 113 x 5 x 4 x 107 = 19829240

Therefore, the lowest common multiple of 113,205,328,214 is 19829240.

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.

113 x 205 x 328 x 214 = 1625997680

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.

113 : 1, 113

205 : 1, 5, 41, 205

328 : 1, 2, 4, 8, 41, 82, 164, 328

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,205,328,214, is 1.

Now, the common factors can be found like this.

113:113

205:5x 41

328:2x 2x 2x 41

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 41 = 82

Therefore, the value for common factors is 82.

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 = 1625997680/(1x82)

LCM = 1625997680/82

LCM = 19829240

Thus, we can understand that the LCM of 113,205,328,214 is 19829240.

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

• LCM of 739, 588, 821, 636
• LCM of 602, 987, 499, 560
• LCM of 721, 183, 749, 676
• LCM of 556, 944, 375, 307
• LCM of 968, 383, 196, 412

1. What is the LCM of 113, 205, 328, 214?

Answer: LCM of 113, 205, 328, 214 is 19829240.

2. How to calculate the LCM of 113, 205, 328, 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 113, 205, 328, 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}.