Given numbers are 344,312,580,136,796

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

The LCM of 344,312,580,136,796 is 6581017560.

Find LCM of 344,312,580,136,796 with Prime Factorization

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

2 x 2 x 2 x 43 x 39 x 145 x 17 x 199 = 6581017560

Therefore, the lowest common multiple of 344,312,580,136,796 is 6581017560.

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.

344 x 312 x 580 x 136 x 796 = 6738961981440

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

136 : 1, 2, 4, 8, 17, 34, 68, 136

796 : 1, 2, 4, 199, 398, 796

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,312,580,136,796, is 4.

Now, the common factors can be found like this.

344:2x 2x 2x 43

312:2x 2x 2x 3x 13

580:2x 2x 5x 29

136:2x 2x 2x 17

796:2x 2x 199

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 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 6738961981440/(4x256)

LCM = 6738961981440/1024

LCM = 6581017560

Thus, we can understand that the LCM of 344,312,580,136,796 is 6581017560.

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

• LCM of 771, 242, 883, 555, 890
• LCM of 101, 914, 440, 321, 185
• LCM of 394, 658, 558, 196, 243
• LCM of 654, 553, 271, 402, 913
• LCM of 789, 818, 829, 326, 263

1. What is the LCM of 344, 312, 580, 136, 796?

Answer: LCM of 344, 312, 580, 136, 796 is 6581017560.

2. How to calculate the LCM of 344, 312, 580, 136, 796?

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 344, 312, 580, 136, 796.

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}.