Given numbers are 194,234,504,11

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

The LCM of 194,234,504,11 is 6990984.

Find LCM of 194,234,504,11 with Prime Factorization

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

2 x 3 x 3 x 97 x 13 x 28 x 11 = 6990984

Therefore, the lowest common multiple of 194,234,504,11 is 6990984.

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.

194 x 234 x 504 x 11 = 251675424

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.

194 : 1, 2, 97, 194

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

11 : 1, 11

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,234,504,11, is 1.

Now, the common factors can be found like this.

194:2x 97

234:2x 3x 3x 13

504:2x 2x 2x 3x 3x 7

11:11

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 = 251675424/(1x36)

LCM = 251675424/36

LCM = 6990984

Thus, we can understand that the LCM of 194,234,504,11 is 6990984.

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

• LCM of 726, 282, 625, 71
• LCM of 424, 270, 326, 93
• LCM of 986, 760, 100, 90
• LCM of 135, 523, 817, 46
• LCM of 574, 167, 109, 21

1. What is the LCM of 194, 234, 504, 11?

Answer: LCM of 194, 234, 504, 11 is 6990984.

2. How to calculate the LCM of 194, 234, 504, 11?

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 194, 234, 504, 11.

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}.