Given numbers are 214,160,910,815,854

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

The LCM of 214,160,910,815,854 is 15490398560.

Find LCM of 214,160,910,815,854 with Prime Factorization

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

2 x 5 x 7 x 107 x 16 x 13 x 163 x 61 = 15490398560

Therefore, the lowest common multiple of 214,160,910,815,854 is 15490398560.

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 160 x 910 x 815 x 854 = 21686557984000

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

815 : 1, 5, 163, 815

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,160,910,815,854, is 1.

Now, the common factors can be found like this.

214:2x 107

160:2x 2x 2x 2x 2x 5

910:2x 5x 7x 13

815:5x 163

854:2x 7x 61

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 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 21686557984000/(1x1400)

LCM = 21686557984000/1400

LCM = 15490398560

Thus, we can understand that the LCM of 214,160,910,815,854 is 15490398560.

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

• LCM of 807, 553, 990, 105, 873
• LCM of 637, 479, 717, 258, 517
• LCM of 638, 667, 813, 530, 688
• LCM of 975, 210, 579, 930, 151
• LCM of 447, 144, 842, 823, 298

1. What is the LCM of 214, 160, 910, 815, 854?

Answer: LCM of 214, 160, 910, 815, 854 is 15490398560.

2. How to calculate the LCM of 214, 160, 910, 815, 854?

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, 160, 910, 815, 854.

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}.