Given numbers are 414,638,614

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

The LCM of 414,638,614 is 40544262.

Find LCM of 414,638,614 with Prime Factorization

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

2 x 207 x 319 x 307 = 40544262

Therefore, the lowest common multiple of 414,638,614 is 40544262.

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 638 x 614 = 162177048

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,638,614, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

638:2x 11x 29

614:2x 307

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 = 162177048/(2x2)

LCM = 162177048/4

LCM = 40544262

Thus, we can understand that the LCM of 414,638,614 is 40544262.

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

• LCM of 116, 806, 955
• LCM of 635, 948, 460
• LCM of 534, 854, 794
• LCM of 628, 306, 691
• LCM of 920, 128, 638

1. What is the LCM of 414, 638, 614?

Answer: LCM of 414, 638, 614 is 40544262.

2. How to calculate the LCM of 414, 638, 614?

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, 638, 614.

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}.