Given numbers are 966,194,185,206,732

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

The LCM of 966,194,185,206,732 is 217829976420.

Find LCM of 966,194,185,206,732 with Prime Factorization

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

2 x 3 x 161 x 97 x 185 x 103 x 122 = 217829976420

Therefore, the lowest common multiple of 966,194,185,206,732 is 217829976420.

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.

966 x 194 x 185 x 206 x 732 = 5227919434080

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

194 : 1, 2, 97, 194

185 : 1, 5, 37, 185

206 : 1, 2, 103, 206

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,194,185,206,732, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

194:2x 97

185:5x 37

206:2x 103

732:2x 2x 3x 61

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5227919434080/(1x24)

LCM = 5227919434080/24

LCM = 217829976420

Thus, we can understand that the LCM of 966,194,185,206,732 is 217829976420.

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

• LCM of 784, 426, 493, 663, 446
• LCM of 602, 857, 806, 414, 429
• LCM of 576, 135, 607, 356, 887
• LCM of 570, 705, 856, 194, 703
• LCM of 366, 480, 192, 764, 461

1. What is the LCM of 966, 194, 185, 206, 732?

Answer: LCM of 966, 194, 185, 206, 732 is 217829976420.

2. How to calculate the LCM of 966, 194, 185, 206, 732?

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 966, 194, 185, 206, 732.

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}.