Given numbers are 193,296,972

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

The LCM of 193,296,972 is 13882104.

Find LCM of 193,296,972 with Prime Factorization

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

2 x 2 x 193 x 74 x 243 = 13882104

Therefore, the lowest common multiple of 193,296,972 is 13882104.

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.

193 x 296 x 972 = 55528416

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.

193 : 1, 193

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,296,972, is 1.

Now, the common factors can be found like this.

193:193

296:2x 2x 2x 37

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

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 = 55528416/(1x4)

LCM = 55528416/4

LCM = 13882104

Thus, we can understand that the LCM of 193,296,972 is 13882104.

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

• LCM of 405, 724, 232
• LCM of 521, 880, 607
• LCM of 284, 249, 273
• LCM of 314, 385, 961
• LCM of 938, 207, 208

1. What is the LCM of 193, 296, 972?

Answer: LCM of 193, 296, 972 is 13882104.

2. How to calculate the LCM of 193, 296, 972?

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 193, 296, 972.

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}.