Given numbers are 12,12,14,973

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

The LCM of 12,12,14,973 is 11676.

Find LCM of 12,12,14,973 with Prime Factorization

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

2 x 2 x 3 x 7 x 1 x 1 x 1 x 139 = 11676

Therefore, the lowest common multiple of 12,12,14,973 is 11676.

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 12 x 14 x 973 = 1961568

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

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

14 : 1, 2, 7, 14

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 12,12,14,973, is 1.

Now, the common factors can be found like this.

12:2x 2x 3

12:2x 2x 3

14:2x 7

973:7x 139

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 1961568/(1x168)

LCM = 1961568/168

LCM = 11676

Thus, we can understand that the LCM of 12,12,14,973 is 11676.

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

• LCM of 32, 51, 61, 220
• LCM of 33, 60, 98, 758
• LCM of 10, 71, 20, 830
• LCM of 47, 20, 93, 290
• LCM of 55, 70, 25, 645

1. What is the LCM of 12, 12, 14, 973?

Answer: LCM of 12, 12, 14, 973 is 11676.

2. How to calculate the LCM of 12, 12, 14, 973?

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, 12, 14, 973.

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}.