Given numbers are 214,736,323,418,941

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

The LCM of 214,736,323,418,941 is 263297310496.

Find LCM of 214,736,323,418,941 with Prime Factorization

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

2 x 19 x 107 x 368 x 17 x 11 x 941 = 263297310496

Therefore, the lowest common multiple of 214,736,323,418,941 is 263297310496.

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.

214 x 736 x 323 x 418 x 941 = 20010595597696

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.

214 : 1, 2, 107, 214

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

323 : 1, 17, 19, 323

418 : 1, 2, 11, 19, 22, 38, 209, 418

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,736,323,418,941, is 1.

Now, the common factors can be found like this.

214:2x 107

736:2x 2x 2x 2x 2x 23

323:17x 19

418:2x 11x 19

941:941

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 19 = 76

Therefore, the value for common factors is 76.

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 = 20010595597696/(1x76)

LCM = 20010595597696/76

LCM = 263297310496

Thus, we can understand that the LCM of 214,736,323,418,941 is 263297310496.

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

• LCM of 132, 579, 154, 433, 460
• LCM of 539, 628, 981, 568, 414
• LCM of 619, 667, 963, 812, 253
• LCM of 528, 847, 990, 967, 446
• LCM of 909, 144, 499, 762, 422

1. What is the LCM of 214, 736, 323, 418, 941?

Answer: LCM of 214, 736, 323, 418, 941 is 263297310496.

2. How to calculate the LCM of 214, 736, 323, 418, 941?

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 214, 736, 323, 418, 941.

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}.