Given numbers are 214,988,305,680,556

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

The LCM of 214,988,305,680,556 is 152382213880.

Find LCM of 214,988,305,680,556 with Prime Factorization

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

2 x 2 x 5 x 107 x 247 x 61 x 34 x 139 = 152382213880

Therefore, the lowest common multiple of 214,988,305,680,556 is 152382213880.

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 988 x 305 x 680 x 556 = 24381154220800

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

305 : 1, 5, 61, 305

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,988,305,680,556, is 1.

Now, the common factors can be found like this.

214:2x 107

988:2x 2x 13x 19

305:5x 61

680:2x 2x 2x 5x 17

556:2x 2x 139

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 5 = 160

Therefore, the value for common factors is 160.

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 = 24381154220800/(1x160)

LCM = 24381154220800/160

LCM = 152382213880

Thus, we can understand that the LCM of 214,988,305,680,556 is 152382213880.

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

• LCM of 530, 360, 742, 821, 902
• LCM of 140, 728, 870, 820, 270
• LCM of 338, 215, 344, 458, 661
• LCM of 819, 448, 493, 167, 612
• LCM of 876, 129, 565, 566, 350

1. What is the LCM of 214, 988, 305, 680, 556?

Answer: LCM of 214, 988, 305, 680, 556 is 152382213880.

2. How to calculate the LCM of 214, 988, 305, 680, 556?

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, 988, 305, 680, 556.

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}.