Given numbers are 131,382,648,214

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

The LCM of 131,382,648,214 is 1734856056.

Find LCM of 131,382,648,214 with Prime Factorization

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

2 x 131 x 191 x 324 x 107 = 1734856056

Therefore, the lowest common multiple of 131,382,648,214 is 1734856056.

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.

131 x 382 x 648 x 214 = 6939424224

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.

131 : 1, 131

382 : 1, 2, 191, 382

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,382,648,214, is 1.

Now, the common factors can be found like this.

131:131

382:2x 191

648:2x 2x 2x 3x 3x 3x 3

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 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 = 6939424224/(1x4)

LCM = 6939424224/4

LCM = 1734856056

Thus, we can understand that the LCM of 131,382,648,214 is 1734856056.

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

• LCM of 911, 332, 326, 853
• LCM of 699, 724, 674, 323
• LCM of 566, 553, 874, 596
• LCM of 509, 225, 967, 142
• LCM of 627, 257, 144, 557

1. What is the LCM of 131, 382, 648, 214?

Answer: LCM of 131, 382, 648, 214 is 1734856056.

2. How to calculate the LCM of 131, 382, 648, 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 131, 382, 648, 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}.