Given numbers are 38,48,34,986

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

The LCM of 38,48,34,986 is 449616.

Find LCM of 38,48,34,986 with Prime Factorization

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

2 x 17 x 19 x 24 x 1 x 29 = 449616

Therefore, the lowest common multiple of 38,48,34,986 is 449616.

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 48 x 34 x 986 = 61147776

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

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

34 : 1, 2, 17, 34

986 : 1, 2, 17, 29, 34, 58, 493, 986

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,48,34,986, is 2.

Now, the common factors can be found like this.

38:2x 19

48:2x 2x 2x 2x 3

34:2x 17

986:2x 17x 29

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 17 = 68

Therefore, the value for common factors is 68.

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 = 61147776/(2x68)

LCM = 61147776/136

LCM = 449616

Thus, we can understand that the LCM of 38,48,34,986 is 449616.

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

• LCM of 60, 93, 19, 248
• LCM of 78, 18, 22, 571
• LCM of 25, 33, 49, 647
• LCM of 38, 46, 55, 363
• LCM of 28, 74, 67, 153

1. What is the LCM of 38, 48, 34, 986?

Answer: LCM of 38, 48, 34, 986 is 449616.

2. How to calculate the LCM of 38, 48, 34, 986?

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, 48, 34, 986.

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}.