Given numbers are 321,689,212,165

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

The LCM of 321,689,212,165 is 48657180.

Find LCM of 321,689,212,165 with Prime Factorization

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

3 x 53 x 107 x 13 x 4 x 55 = 48657180

Therefore, the lowest common multiple of 321,689,212,165 is 48657180.

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.

321 x 689 x 212 x 165 = 7736491620

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.

321 : 1, 3, 107, 321

689 : 1, 13, 53, 689

212 : 1, 2, 4, 53, 106, 212

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,689,212,165, is 1.

Now, the common factors can be found like this.

321:3x 107

689:13x 53

212:2x 2x 53

165:3x 5x 11

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

3x 53 = 159

Therefore, the value for common factors is 159.

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 = 7736491620/(1x159)

LCM = 7736491620/159

LCM = 48657180

Thus, we can understand that the LCM of 321,689,212,165 is 48657180.

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

• LCM of 230, 849, 611, 353
• LCM of 247, 983, 961, 605
• LCM of 506, 438, 846, 457
• LCM of 789, 182, 173, 181
• LCM of 308, 623, 499, 699

1. What is the LCM of 321, 689, 212, 165?

Answer: LCM of 321, 689, 212, 165 is 48657180.

2. How to calculate the LCM of 321, 689, 212, 165?

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 321, 689, 212, 165.

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}.