Given numbers are 38,30,56,442

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

The LCM of 38,30,56,442 is 3527160.

Find LCM of 38,30,56,442 with Prime Factorization

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

2 x 19 x 15 x 28 x 221 = 3527160

Therefore, the lowest common multiple of 38,30,56,442 is 3527160.

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 30 x 56 x 442 = 28217280

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

30 : 1, 2, 3, 5, 6, 10, 15, 30

56 : 1, 2, 4, 7, 8, 14, 28, 56

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,30,56,442, is 2.

Now, the common factors can be found like this.

38:2x 19

30:2x 3x 5

56:2x 2x 2x 7

442:2x 13x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28217280/(2x4)

LCM = 28217280/8

LCM = 3527160

Thus, we can understand that the LCM of 38,30,56,442 is 3527160.

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

• LCM of 28, 11, 99, 238
• LCM of 42, 42, 52, 498
• LCM of 63, 27, 69, 988
• LCM of 13, 96, 28, 370
• LCM of 60, 78, 77, 271

1. What is the LCM of 38, 30, 56, 442?

Answer: LCM of 38, 30, 56, 442 is 3527160.

2. How to calculate the LCM of 38, 30, 56, 442?

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, 30, 56, 442.

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}.