Given numbers are 231,386,214,219

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

The LCM of 231,386,214,219 is 696475626.

Find LCM of 231,386,214,219 with Prime Factorization

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

2 x 3 x 77 x 193 x 107 x 73 = 696475626

Therefore, the lowest common multiple of 231,386,214,219 is 696475626.

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.

231 x 386 x 214 x 219 = 4178853756

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

386 : 1, 2, 193, 386

214 : 1, 2, 107, 214

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,386,214,219, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

386:2x 193

214:2x 107

219:3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4178853756/(1x6)

LCM = 4178853756/6

LCM = 696475626

Thus, we can understand that the LCM of 231,386,214,219 is 696475626.

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

• LCM of 940, 663, 850, 593
• LCM of 508, 680, 113, 261
• LCM of 543, 463, 927, 193
• LCM of 841, 444, 899, 305
• LCM of 388, 940, 689, 531

1. What is the LCM of 231, 386, 214, 219?

Answer: LCM of 231, 386, 214, 219 is 696475626.

2. How to calculate the LCM of 231, 386, 214, 219?

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 231, 386, 214, 219.

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}.