Given numbers are 397,638,112,882,214

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

The LCM of 397,638,112,882,214 is 95614451856.

Find LCM of 397,638,112,882,214 with Prime Factorization

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

2 x 7 x 397 x 319 x 8 x 63 x 107 = 95614451856

Therefore, the lowest common multiple of 397,638,112,882,214 is 95614451856.

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.

397 x 638 x 112 x 882 x 214 = 5354409303936

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.

397 : 1, 397

638 : 1, 2, 11, 22, 29, 58, 319, 638

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,638,112,882,214, is 1.

Now, the common factors can be found like this.

397:397

638:2x 11x 29

112:2x 2x 2x 2x 7

882:2x 3x 3x 7x 7

214:2x 107

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 7 = 56

Therefore, the value for common factors is 56.

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 = 5354409303936/(1x56)

LCM = 5354409303936/56

LCM = 95614451856

Thus, we can understand that the LCM of 397,638,112,882,214 is 95614451856.

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

• LCM of 388, 407, 894, 493, 480
• LCM of 316, 312, 376, 580, 162
• LCM of 969, 529, 770, 796, 827
• LCM of 865, 542, 377, 984, 824
• LCM of 546, 836, 611, 626, 419

1. What is the LCM of 397, 638, 112, 882, 214?

Answer: LCM of 397, 638, 112, 882, 214 is 95614451856.

2. How to calculate the LCM of 397, 638, 112, 882, 214?

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 397, 638, 112, 882, 214.

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}.