Given numbers are 329,312,906,684,396

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

The LCM of 329,312,906,684,396 is 9718404696.

Find LCM of 329,312,906,684,396 with Prime Factorization

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

2 x 2 x 3 x 3 x 329 x 26 x 151 x 19 x 11 = 9718404696

Therefore, the lowest common multiple of 329,312,906,684,396 is 9718404696.

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.

329 x 312 x 906 x 684 x 396 = 25190104972032

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.

329 : 1, 7, 47, 329

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,312,906,684,396, is 1.

Now, the common factors can be found like this.

329:7x 47

312:2x 2x 2x 3x 13

906:2x 3x 151

684:2x 2x 3x 3x 19

396:2x 2x 3x 3x 11

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 25190104972032/(1x2592)

LCM = 25190104972032/2592

LCM = 9718404696

Thus, we can understand that the LCM of 329,312,906,684,396 is 9718404696.

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

• LCM of 554, 402, 953, 674, 896
• LCM of 307, 971, 605, 792, 443
• LCM of 441, 295, 761, 159, 495
• LCM of 992, 910, 716, 692, 931
• LCM of 946, 882, 758, 444, 690

1. What is the LCM of 329, 312, 906, 684, 396?

Answer: LCM of 329, 312, 906, 684, 396 is 9718404696.

2. How to calculate the LCM of 329, 312, 906, 684, 396?

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 329, 312, 906, 684, 396.

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}.