Given numbers are 12,20,997

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

The LCM of 12,20,997 is 59820.

Find LCM of 12,20,997 with Prime Factorization

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

2 x 2 x 3 x 5 x 997 = 59820

Therefore, the lowest common multiple of 12,20,997 is 59820.

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.

12 x 20 x 997 = 239280

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.

12 : 1, 2, 3, 4, 6, 12

20 : 1, 2, 4, 5, 10, 20

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 12,20,997, is 1.

Now, the common factors can be found like this.

12:2x 2x 3

20:2x 2x 5

997:997

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 239280/(1x4)

LCM = 239280/4

LCM = 59820

Thus, we can understand that the LCM of 12,20,997 is 59820.

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

• LCM of 71, 27, 573
• LCM of 27, 49, 556
• LCM of 22, 24, 476
• LCM of 36, 48, 561
• LCM of 34, 59, 329

1. What is the LCM of 12, 20, 997?

Answer: LCM of 12, 20, 997 is 59820.

2. How to calculate the LCM of 12, 20, 997?

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 12, 20, 997.

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}.