Given numbers are 977,442,444,414

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

The LCM of 977,442,444,414 is 6614833212.

Find LCM of 977,442,444,414 with Prime Factorization

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

2 x 3 x 977 x 221 x 74 x 69 = 6614833212

Therefore, the lowest common multiple of 977,442,444,414 is 6614833212.

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.

977 x 442 x 444 x 414 = 79377998544

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.

977 : 1, 977

442 : 1, 2, 13, 17, 26, 34, 221, 442

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,442,444,414, is 1.

Now, the common factors can be found like this.

977:977

442:2x 13x 17

444:2x 2x 3x 37

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 79377998544/(1x12)

LCM = 79377998544/12

LCM = 6614833212

Thus, we can understand that the LCM of 977,442,444,414 is 6614833212.

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

• LCM of 476, 572, 475, 843
• LCM of 473, 690, 541, 567
• LCM of 834, 792, 161, 858
• LCM of 658, 441, 377, 563
• LCM of 242, 904, 180, 977

1. What is the LCM of 977, 442, 444, 414?

Answer: LCM of 977, 442, 444, 414 is 6614833212.

2. How to calculate the LCM of 977, 442, 444, 414?

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 977, 442, 444, 414.

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}.