Given numbers are 414,415,483,939

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

The LCM of 414,415,483,939 is 376435710.

Find LCM of 414,415,483,939 with Prime Factorization

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

3 x 23 x 6 x 415 x 7 x 313 = 376435710

Therefore, the lowest common multiple of 414,415,483,939 is 376435710.

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.

414 x 415 x 483 x 939 = 77922191970

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.

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

415 : 1, 5, 83, 415

483 : 1, 3, 7, 21, 23, 69, 161, 483

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,415,483,939, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

415:5x 83

483:3x 7x 23

939:3x 313

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 77922191970/(1x207)

LCM = 77922191970/207

LCM = 376435710

Thus, we can understand that the LCM of 414,415,483,939 is 376435710.

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

• LCM of 412, 561, 164, 514
• LCM of 799, 732, 134, 106
• LCM of 967, 368, 635, 367
• LCM of 651, 836, 441, 415
• LCM of 683, 443, 258, 818

1. What is the LCM of 414, 415, 483, 939?

Answer: LCM of 414, 415, 483, 939 is 376435710.

2. How to calculate the LCM of 414, 415, 483, 939?

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 414, 415, 483, 939.

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}.