Given numbers are 830,406,332,311

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

The LCM of 830,406,332,311 is 104800780.

Find LCM of 830,406,332,311 with Prime Factorization

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

2 x 83 x 5 x 203 x 2 x 311 = 104800780

Therefore, the lowest common multiple of 830,406,332,311 is 104800780.

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.

830 x 406 x 332 x 311 = 34793858960

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

406 : 1, 2, 7, 14, 29, 58, 203, 406

332 : 1, 2, 4, 83, 166, 332

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,406,332,311, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

406:2x 7x 29

332:2x 2x 83

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 83 = 332

Therefore, the value for common factors is 332.

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 = 34793858960/(1x332)

LCM = 34793858960/332

LCM = 104800780

Thus, we can understand that the LCM of 830,406,332,311 is 104800780.

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

• LCM of 360, 750, 141, 817
• LCM of 817, 290, 196, 701
• LCM of 539, 853, 694, 859
• LCM of 902, 303, 907, 833
• LCM of 857, 909, 669, 882

1. What is the LCM of 830, 406, 332, 311?

Answer: LCM of 830, 406, 332, 311 is 104800780.

2. How to calculate the LCM of 830, 406, 332, 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 830, 406, 332, 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}.