Given numbers are 214,846,896,169,169

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

The LCM of 214,846,896,169,169 is 6853601664.

Find LCM of 214,846,896,169,169 with Prime Factorization

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

2 x 13 x 13 x 107 x 423 x 448 x 1 x 1 = 6853601664

Therefore, the lowest common multiple of 214,846,896,169,169 is 6853601664.

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 846 x 896 x 169 x 169 = 4633034724864

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

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

169 : 1, 13, 169

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,846,896,169,169, is 1.

Now, the common factors can be found like this.

214:2x 107

846:2x 3x 3x 47

896:2x 2x 2x 2x 2x 2x 2x 7

169:13x 13

169:13x 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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 4633034724864/(1x676)

LCM = 4633034724864/676

LCM = 6853601664

Thus, we can understand that the LCM of 214,846,896,169,169 is 6853601664.

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

• LCM of 901, 242, 161, 938, 359
• LCM of 938, 785, 903, 504, 243
• LCM of 318, 511, 304, 807, 870
• LCM of 217, 453, 929, 589, 360
• LCM of 653, 192, 831, 772, 113

1. What is the LCM of 214, 846, 896, 169, 169?

Answer: LCM of 214, 846, 896, 169, 169 is 6853601664.

2. How to calculate the LCM of 214, 846, 896, 169, 169?

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, 846, 896, 169, 169.

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}.