Given numbers are 38,38,414

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

The LCM of 38,38,414 is 7866.

Find LCM of 38,38,414 with Prime Factorization

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

2 x 19 x 1 x 1 x 207 = 7866

Therefore, the lowest common multiple of 38,38,414 is 7866.

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.

38 x 38 x 414 = 597816

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.

38 : 1, 2, 19, 38

38 : 1, 2, 19, 38

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,38,414, is 2.

Now, the common factors can be found like this.

38:2x 19

38:2x 19

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 19 = 38

Therefore, the value for common factors is 38.

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 = 597816/(2x38)

LCM = 597816/76

LCM = 7866

Thus, we can understand that the LCM of 38,38,414 is 7866.

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

• LCM of 85, 50, 210
• LCM of 79, 54, 881
• LCM of 34, 80, 768
• LCM of 45, 38, 112
• LCM of 63, 95, 636

1. What is the LCM of 38, 38, 414?

Answer: LCM of 38, 38, 414 is 7866.

2. How to calculate the LCM of 38, 38, 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 38, 38, 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}.