Given numbers are 174,129,199,213

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

The LCM of 174,129,199,213 is 105713178.

Find LCM of 174,129,199,213 with Prime Factorization

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

3 x 58 x 43 x 199 x 71 = 105713178

Therefore, the lowest common multiple of 174,129,199,213 is 105713178.

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.

174 x 129 x 199 x 213 = 951418602

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.

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

129 : 1, 3, 43, 129

199 : 1, 199

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,129,199,213, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

129:3x 43

199:199

213:3x 71

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 951418602/(1x9)

LCM = 951418602/9

LCM = 105713178

Thus, we can understand that the LCM of 174,129,199,213 is 105713178.

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

• LCM of 182, 969, 304, 829
• LCM of 464, 351, 763, 137
• LCM of 237, 829, 548, 315
• LCM of 266, 146, 169, 496
• LCM of 759, 829, 241, 448

1. What is the LCM of 174, 129, 199, 213?

Answer: LCM of 174, 129, 199, 213 is 105713178.

2. How to calculate the LCM of 174, 129, 199, 213?

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 174, 129, 199, 213.

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}.