Given numbers are 219,73,814

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

The LCM of 219,73,814 is 178266.

Find LCM of 219,73,814 with Prime Factorization

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

73 x 3 x 1 x 814 = 178266

Therefore, the lowest common multiple of 219,73,814 is 178266.

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.

219 x 73 x 814 = 13013418

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.

219 : 1, 3, 73, 219

73 : 1, 73

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,73,814, is 1.

Now, the common factors can be found like this.

219:3x 73

73:73

814:2x 11x 37

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

73 = 73

Therefore, the value for common factors is 73.

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 = 13013418/(1x73)

LCM = 13013418/73

LCM = 178266

Thus, we can understand that the LCM of 219,73,814 is 178266.

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

• LCM of 961, 92, 686
• LCM of 477, 23, 301
• LCM of 238, 36, 724
• LCM of 676, 63, 338
• LCM of 559, 52, 751

1. What is the LCM of 219, 73, 814?

Answer: LCM of 219, 73, 814 is 178266.

2. How to calculate the LCM of 219, 73, 814?

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 219, 73, 814.

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}.