Given numbers are 189,404,212,646,614

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

The LCM of 189,404,212,646,614 is 401291477748.

Find LCM of 189,404,212,646,614 with Prime Factorization

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

2 x 2 x 189 x 101 x 53 x 323 x 307 = 401291477748

Therefore, the lowest common multiple of 189,404,212,646,614 is 401291477748.

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.

189 x 404 x 212 x 646 x 614 = 6420663643968

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

404 : 1, 2, 4, 101, 202, 404

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,404,212,646,614, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

404:2x 2x 101

212:2x 2x 53

646:2x 17x 19

614:2x 307

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 6420663643968/(1x16)

LCM = 6420663643968/16

LCM = 401291477748

Thus, we can understand that the LCM of 189,404,212,646,614 is 401291477748.

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

• LCM of 984, 906, 399, 521, 581
• LCM of 522, 785, 644, 610, 299
• LCM of 229, 852, 311, 944, 288
• LCM of 217, 181, 482, 702, 574
• LCM of 146, 346, 996, 420, 161

1. What is the LCM of 189, 404, 212, 646, 614?

Answer: LCM of 189, 404, 212, 646, 614 is 401291477748.

2. How to calculate the LCM of 189, 404, 212, 646, 614?

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 189, 404, 212, 646, 614.

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}.