Given numbers are 316,437,398,312,414

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

The LCM of 316,437,398,312,414 is 6430392072.

Find LCM of 316,437,398,312,414 with Prime Factorization

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

2 x 2 x 3 x 23 x 79 x 19 x 199 x 26 x 3 = 6430392072

Therefore, the lowest common multiple of 316,437,398,312,414 is 6430392072.

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.

316 x 437 x 398 x 312 x 414 = 7099152847488

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.

316 : 1, 2, 4, 79, 158, 316

437 : 1, 19, 23, 437

398 : 1, 2, 199, 398

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,437,398,312,414, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

437:19x 23

398:2x 199

312:2x 2x 2x 3x 13

414:2x 3x 3x 23

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 23 = 1104

Therefore, the value for common factors is 1104.

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 = 7099152847488/(1x1104)

LCM = 7099152847488/1104

LCM = 6430392072

Thus, we can understand that the LCM of 316,437,398,312,414 is 6430392072.

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

• LCM of 916, 117, 741, 567, 287
• LCM of 482, 359, 159, 486, 983
• LCM of 609, 975, 380, 631, 133
• LCM of 400, 765, 696, 672, 684
• LCM of 446, 174, 961, 774, 590

1. What is the LCM of 316, 437, 398, 312, 414?

Answer: LCM of 316, 437, 398, 312, 414 is 6430392072.

2. How to calculate the LCM of 316, 437, 398, 312, 414?

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 316, 437, 398, 312, 414.

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}.