Given numbers are 126,264,642,409

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

The LCM of 126,264,642,409 is 242622072.

Find LCM of 126,264,642,409 with Prime Factorization

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

2 x 3 x 21 x 44 x 107 x 409 = 242622072

Therefore, the lowest common multiple of 126,264,642,409 is 242622072.

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.

126 x 264 x 642 x 409 = 8734394592

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

642 : 1, 2, 3, 6, 107, 214, 321, 642

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,264,642,409, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

264:2x 2x 2x 3x 11

642:2x 3x 107

409:409

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 = 8734394592/(1x36)

LCM = 8734394592/36

LCM = 242622072

Thus, we can understand that the LCM of 126,264,642,409 is 242622072.

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

• LCM of 992, 158, 386, 513
• LCM of 508, 923, 733, 829
• LCM of 434, 851, 961, 760
• LCM of 890, 888, 253, 780
• LCM of 989, 522, 849, 569

1. What is the LCM of 126, 264, 642, 409?

Answer: LCM of 126, 264, 642, 409 is 242622072.

2. How to calculate the LCM of 126, 264, 642, 409?

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 126, 264, 642, 409.

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}.