Given numbers are 214,188,386,462,181

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

The LCM of 214,188,386,462,181 is 162326524668.

Find LCM of 214,188,386,462,181 with Prime Factorization

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

2 x 107 x 94 x 193 x 231 x 181 = 162326524668

Therefore, the lowest common multiple of 214,188,386,462,181 is 162326524668.

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.

214 x 188 x 386 x 462 x 181 = 1298612197344

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.

214 : 1, 2, 107, 214

188 : 1, 2, 4, 47, 94, 188

386 : 1, 2, 193, 386

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,188,386,462,181, is 1.

Now, the common factors can be found like this.

214:2x 107

188:2x 2x 47

386:2x 193

462:2x 3x 7x 11

181:181

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1298612197344/(1x8)

LCM = 1298612197344/8

LCM = 162326524668

Thus, we can understand that the LCM of 214,188,386,462,181 is 162326524668.

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

• LCM of 151, 140, 917, 506, 979
• LCM of 700, 150, 423, 498, 534
• LCM of 192, 290, 352, 791, 706
• LCM of 404, 141, 760, 190, 432
• LCM of 154, 229, 150, 121, 908

1. What is the LCM of 214, 188, 386, 462, 181?

Answer: LCM of 214, 188, 386, 462, 181 is 162326524668.

2. How to calculate the LCM of 214, 188, 386, 462, 181?

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 214, 188, 386, 462, 181.

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}.