Given numbers are 398,874,414,792,452

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

The LCM of 398,874,414,792,452 is 7782840648.

Find LCM of 398,874,414,792,452 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 199 x 19 x 1 x 22 x 113 = 7782840648

Therefore, the lowest common multiple of 398,874,414,792,452 is 7782840648.

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.

398 x 874 x 414 x 792 x 452 = 51553536452352

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.

398 : 1, 2, 199, 398

874 : 1, 2, 19, 23, 38, 46, 437, 874

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,874,414,792,452, is 2.

Now, the common factors can be found like this.

398:2x 199

874:2x 19x 23

414:2x 3x 3x 23

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

452:2x 2x 113

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 2x 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 51553536452352/(2x3312)

LCM = 51553536452352/6624

LCM = 7782840648

Thus, we can understand that the LCM of 398,874,414,792,452 is 7782840648.

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

• LCM of 162, 722, 379, 646, 107
• LCM of 936, 320, 904, 718, 397
• LCM of 978, 676, 899, 179, 242
• LCM of 330, 336, 283, 320, 513
• LCM of 466, 493, 956, 971, 802

1. What is the LCM of 398, 874, 414, 792, 452?

Answer: LCM of 398, 874, 414, 792, 452 is 7782840648.

2. How to calculate the LCM of 398, 874, 414, 792, 452?

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 398, 874, 414, 792, 452.

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}.