Given numbers are 834,189,128,302,311

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

The LCM of 834,189,128,302,311 is 157915191168.

Find LCM of 834,189,128,302,311 with Prime Factorization

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

2 x 3 x 139 x 63 x 64 x 151 x 311 = 157915191168

Therefore, the lowest common multiple of 834,189,128,302,311 is 157915191168.

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.

834 x 189 x 128 x 302 x 311 = 1894982294016

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.

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

128 : 1, 2, 4, 8, 16, 32, 64, 128

302 : 1, 2, 151, 302

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,189,128,302,311, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

189:3x 3x 3x 7

128:2x 2x 2x 2x 2x 2x 2

302:2x 151

311:311

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1894982294016/(1x12)

LCM = 1894982294016/12

LCM = 157915191168

Thus, we can understand that the LCM of 834,189,128,302,311 is 157915191168.

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

• LCM of 823, 460, 460, 804, 867
• LCM of 119, 947, 149, 901, 150
• LCM of 439, 749, 521, 685, 263
• LCM of 407, 277, 939, 223, 221
• LCM of 537, 287, 160, 144, 461

1. What is the LCM of 834, 189, 128, 302, 311?

Answer: LCM of 834, 189, 128, 302, 311 is 157915191168.

2. How to calculate the LCM of 834, 189, 128, 302, 311?

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 834, 189, 128, 302, 311.

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}.