Given numbers are 386,702,426,361,312

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

The LCM of 386,702,426,361,312 is 13890566664.

Find LCM of 386,702,426,361,312 with Prime Factorization

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

2 x 3 x 13 x 193 x 9 x 71 x 361 x 4 = 13890566664

Therefore, the lowest common multiple of 386,702,426,361,312 is 13890566664.

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.

386 x 702 x 426 x 361 x 312 = 13001570397504

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.

386 : 1, 2, 193, 386

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

426 : 1, 2, 3, 6, 71, 142, 213, 426

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,702,426,361,312, is 1.

Now, the common factors can be found like this.

386:2x 193

702:2x 3x 3x 3x 13

426:2x 3x 71

361:19x 19

312:2x 2x 2x 3x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 13001570397504/(1x936)

LCM = 13001570397504/936

LCM = 13890566664

Thus, we can understand that the LCM of 386,702,426,361,312 is 13890566664.

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

• LCM of 992, 153, 643, 226, 839
• LCM of 450, 116, 732, 805, 866
• LCM of 806, 624, 854, 721, 194
• LCM of 359, 852, 273, 694, 215
• LCM of 266, 953, 978, 315, 959

1. What is the LCM of 386, 702, 426, 361, 312?

Answer: LCM of 386, 702, 426, 361, 312 is 13890566664.

2. How to calculate the LCM of 386, 702, 426, 361, 312?

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 386, 702, 426, 361, 312.

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}.