Given numbers are 192,972,129,113

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

The LCM of 192,972,129,113 is 75567168.

Find LCM of 192,972,129,113 with Prime Factorization

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

2 x 2 x 3 x 16 x 81 x 43 x 113 = 75567168

Therefore, the lowest common multiple of 192,972,129,113 is 75567168.

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.

192 x 972 x 129 x 113 = 2720418048

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

129 : 1, 3, 43, 129

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,972,129,113, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

972:2x 2x 3x 3x 3x 3x 3

129:3x 43

113:113

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 2720418048/(1x36)

LCM = 2720418048/36

LCM = 75567168

Thus, we can understand that the LCM of 192,972,129,113 is 75567168.

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

• LCM of 223, 510, 307, 153
• LCM of 681, 195, 499, 242
• LCM of 458, 845, 738, 901
• LCM of 832, 181, 871, 129
• LCM of 338, 213, 180, 500

1. What is the LCM of 192, 972, 129, 113?

Answer: LCM of 192, 972, 129, 113 is 75567168.

2. How to calculate the LCM of 192, 972, 129, 113?

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 192, 972, 129, 113.

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}.