Given numbers are 102,834,414,211,258

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

The LCM of 102,834,414,211,258 is 8875952586.

Find LCM of 102,834,414,211,258 with Prime Factorization

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

2 x 3 x 17 x 139 x 69 x 211 x 43 = 8875952586

Therefore, the lowest common multiple of 102,834,414,211,258 is 8875952586.

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.

102 x 834 x 414 x 211 x 258 = 1917205758576

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

834 : 1, 2, 3, 6, 139, 278, 417, 834

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

211 : 1, 211

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,834,414,211,258, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

834:2x 3x 139

414:2x 3x 3x 23

211:211

258:2x 3x 43

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1917205758576/(1x216)

LCM = 1917205758576/216

LCM = 8875952586

Thus, we can understand that the LCM of 102,834,414,211,258 is 8875952586.

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

• LCM of 234, 217, 294, 487, 972
• LCM of 636, 523, 136, 467, 579
• LCM of 836, 980, 219, 693, 202
• LCM of 199, 197, 938, 162, 511
• LCM of 429, 852, 278, 659, 225

1. What is the LCM of 102, 834, 414, 211, 258?

Answer: LCM of 102, 834, 414, 211, 258 is 8875952586.

2. How to calculate the LCM of 102, 834, 414, 211, 258?

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 102, 834, 414, 211, 258.

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}.