Given numbers are 830,160,313,409

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

The LCM of 830,160,313,409 is 1700065760.

Find LCM of 830,160,313,409 with Prime Factorization

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

2 x 5 x 83 x 16 x 313 x 409 = 1700065760

Therefore, the lowest common multiple of 830,160,313,409 is 1700065760.

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 160 x 313 x 409 = 17000657600

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

313 : 1, 313

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,160,313,409, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

160:2x 2x 2x 2x 2x 5

313:313

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 17000657600/(1x10)

LCM = 17000657600/10

LCM = 1700065760

Thus, we can understand that the LCM of 830,160,313,409 is 1700065760.

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

• LCM of 151, 256, 266, 313
• LCM of 989, 725, 834, 692
• LCM of 449, 722, 570, 223
• LCM of 675, 176, 108, 598
• LCM of 603, 415, 674, 801

1. What is the LCM of 830, 160, 313, 409?

Answer: LCM of 830, 160, 313, 409 is 1700065760.

2. How to calculate the LCM of 830, 160, 313, 409?

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, 160, 313, 409.

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}.