Given numbers are 226,792,493,398,642

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

The LCM of 226,792,493,398,642 is 939479695704.

Find LCM of 226,792,493,398,642 with Prime Factorization

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

2 x 3 x 113 x 132 x 493 x 199 x 107 = 939479695704

Therefore, the lowest common multiple of 226,792,493,398,642 is 939479695704.

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.

226 x 792 x 493 x 398 x 642 = 22547512696896

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.

226 : 1, 2, 113, 226

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

493 : 1, 17, 29, 493

398 : 1, 2, 199, 398

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,792,493,398,642, is 1.

Now, the common factors can be found like this.

226:2x 113

792:2x 2x 2x 3x 3x 11

493:17x 29

398:2x 199

642:2x 3x 107

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 22547512696896/(1x24)

LCM = 22547512696896/24

LCM = 939479695704

Thus, we can understand that the LCM of 226,792,493,398,642 is 939479695704.

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

• LCM of 792, 681, 525, 138, 301
• LCM of 539, 135, 958, 472, 656
• LCM of 932, 534, 994, 930, 109
• LCM of 625, 231, 441, 795, 727
• LCM of 247, 547, 670, 558, 628

1. What is the LCM of 226, 792, 493, 398, 642?

Answer: LCM of 226, 792, 493, 398, 642 is 939479695704.

2. How to calculate the LCM of 226, 792, 493, 398, 642?

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 226, 792, 493, 398, 642.

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}.