Given numbers are 214,408,622,274,226

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

The LCM of 214,408,622,274,226 is 210185784696.

Find LCM of 214,408,622,274,226 with Prime Factorization

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

2 x 107 x 204 x 311 x 137 x 113 = 210185784696

Therefore, the lowest common multiple of 214,408,622,274,226 is 210185784696.

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 408 x 622 x 274 x 226 = 3362972555136

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

622 : 1, 2, 311, 622

274 : 1, 2, 137, 274

226 : 1, 2, 113, 226

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,408,622,274,226, is 2.

Now, the common factors can be found like this.

214:2x 107

408:2x 2x 2x 3x 17

622:2x 311

274:2x 137

226:2x 113

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3362972555136/(2x8)

LCM = 3362972555136/16

LCM = 210185784696

Thus, we can understand that the LCM of 214,408,622,274,226 is 210185784696.

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

• LCM of 852, 173, 870, 671, 982
• LCM of 899, 701, 144, 726, 293
• LCM of 423, 345, 689, 609, 906
• LCM of 620, 873, 590, 803, 177
• LCM of 854, 254, 244, 949, 867

1. What is the LCM of 214, 408, 622, 274, 226?

Answer: LCM of 214, 408, 622, 274, 226 is 210185784696.

2. How to calculate the LCM of 214, 408, 622, 274, 226?

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, 408, 622, 274, 226.

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}.