Given numbers are 230,222,174,214

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

The LCM of 230,222,174,214 is 79219590.

Find LCM of 230,222,174,214 with Prime Factorization

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

2 x 3 x 115 x 37 x 29 x 107 = 79219590

Therefore, the lowest common multiple of 230,222,174,214 is 79219590.

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.

230 x 222 x 174 x 214 = 1901270160

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

222 : 1, 2, 3, 6, 37, 74, 111, 222

174 : 1, 2, 3, 6, 29, 58, 87, 174

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,222,174,214, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

222:2x 3x 37

174:2x 3x 29

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 1901270160/(2x12)

LCM = 1901270160/24

LCM = 79219590

Thus, we can understand that the LCM of 230,222,174,214 is 79219590.

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

• LCM of 312, 575, 821, 766
• LCM of 523, 215, 411, 119
• LCM of 127, 513, 924, 456
• LCM of 748, 758, 252, 279
• LCM of 123, 879, 606, 273

1. What is the LCM of 230, 222, 174, 214?

Answer: LCM of 230, 222, 174, 214 is 79219590.

2. How to calculate the LCM of 230, 222, 174, 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 230, 222, 174, 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}.