Given numbers are 365,128,214,711,834

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

The LCM of 365,128,214,711,834 is 494050124160.

Find LCM of 365,128,214,711,834 with Prime Factorization

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

2 x 3 x 365 x 64 x 107 x 237 x 139 = 494050124160

Therefore, the lowest common multiple of 365,128,214,711,834 is 494050124160.

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.

365 x 128 x 214 x 711 x 834 = 5928601489920

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.

365 : 1, 5, 73, 365

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

214 : 1, 2, 107, 214

711 : 1, 3, 9, 79, 237, 711

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,128,214,711,834, is 1.

Now, the common factors can be found like this.

365:5x 73

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

214:2x 107

711:3x 3x 79

834:2x 3x 139

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 = 5928601489920/(1x12)

LCM = 5928601489920/12

LCM = 494050124160

Thus, we can understand that the LCM of 365,128,214,711,834 is 494050124160.

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

• LCM of 870, 545, 699, 168, 380
• LCM of 922, 575, 380, 223, 340
• LCM of 745, 661, 784, 188, 693
• LCM of 718, 649, 219, 592, 320
• LCM of 155, 648, 434, 736, 855

1. What is the LCM of 365, 128, 214, 711, 834?

Answer: LCM of 365, 128, 214, 711, 834 is 494050124160.

2. How to calculate the LCM of 365, 128, 214, 711, 834?

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 365, 128, 214, 711, 834.

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}.