Given numbers are 408,577,313,789

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

The LCM of 408,577,313,789 is 19379209704.

Find LCM of 408,577,313,789 with Prime Factorization

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

3 x 136 x 577 x 313 x 263 = 19379209704

Therefore, the lowest common multiple of 408,577,313,789 is 19379209704.

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.

408 x 577 x 313 x 789 = 58137629112

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

577 : 1, 577

313 : 1, 313

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,577,313,789, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

577:577

313:313

789:3x 263

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

3 = 3

Therefore, the value for common factors is 3.

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 = 58137629112/(1x3)

LCM = 58137629112/3

LCM = 19379209704

Thus, we can understand that the LCM of 408,577,313,789 is 19379209704.

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

• LCM of 758, 785, 697, 213
• LCM of 229, 698, 321, 117
• LCM of 965, 416, 518, 581
• LCM of 975, 159, 301, 598
• LCM of 676, 137, 365, 723

1. What is the LCM of 408, 577, 313, 789?

Answer: LCM of 408, 577, 313, 789 is 19379209704.

2. How to calculate the LCM of 408, 577, 313, 789?

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 408, 577, 313, 789.

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}.