Given numbers are 207,687,349,653,742

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

The LCM of 207,687,349,653,742 is 8015827106322.

Find LCM of 207,687,349,653,742 with Prime Factorization

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

3 x 69 x 229 x 349 x 653 x 742 = 8015827106322

Therefore, the lowest common multiple of 207,687,349,653,742 is 8015827106322.

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.

207 x 687 x 349 x 653 x 742 = 24047481318966

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.

207 : 1, 3, 9, 23, 69, 207

687 : 1, 3, 229, 687

349 : 1, 349

653 : 1, 653

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,687,349,653,742, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

687:3x 229

349:349

653:653

742:2x 7x 53

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

3 = 3

Therefore, the value for common factors is 3.

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 = 24047481318966/(1x3)

LCM = 24047481318966/3

LCM = 8015827106322

Thus, we can understand that the LCM of 207,687,349,653,742 is 8015827106322.

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

• LCM of 584, 749, 787, 264, 943
• LCM of 212, 156, 355, 794, 212
• LCM of 952, 727, 846, 664, 868
• LCM of 385, 417, 831, 301, 545
• LCM of 392, 967, 470, 947, 991

1. What is the LCM of 207, 687, 349, 653, 742?

Answer: LCM of 207, 687, 349, 653, 742 is 8015827106322.

2. How to calculate the LCM of 207, 687, 349, 653, 742?

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 207, 687, 349, 653, 742.

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}.