Given numbers are 790,414,301,409

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

The LCM of 790,414,301,409 is 20132014770.

Find LCM of 790,414,301,409 with Prime Factorization

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

2 x 395 x 207 x 301 x 409 = 20132014770

Therefore, the lowest common multiple of 790,414,301,409 is 20132014770.

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.

790 x 414 x 301 x 409 = 40264029540

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

301 : 1, 7, 43, 301

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,414,301,409, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

414:2x 3x 3x 23

301:7x 43

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 40264029540/(1x2)

LCM = 40264029540/2

LCM = 20132014770

Thus, we can understand that the LCM of 790,414,301,409 is 20132014770.

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

• LCM of 774, 927, 651, 638
• LCM of 386, 567, 380, 935
• LCM of 567, 834, 885, 944
• LCM of 163, 418, 514, 515
• LCM of 733, 530, 351, 134

1. What is the LCM of 790, 414, 301, 409?

Answer: LCM of 790, 414, 301, 409 is 20132014770.

2. How to calculate the LCM of 790, 414, 301, 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 790, 414, 301, 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}.