Given numbers are 367,39,208

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

The LCM of 367,39,208 is 229008.

Find LCM of 367,39,208 with Prime Factorization

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

13 x 367 x 3 x 16 = 229008

Therefore, the lowest common multiple of 367,39,208 is 229008.

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.

367 x 39 x 208 = 2977104

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.

367 : 1, 367

39 : 1, 3, 13, 39

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,39,208, is 1.

Now, the common factors can be found like this.

367:367

39:3x 13

208:2x 2x 2x 2x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 2977104/(1x13)

LCM = 2977104/13

LCM = 229008

Thus, we can understand that the LCM of 367,39,208 is 229008.

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

• LCM of 668, 41, 165
• LCM of 638, 33, 550
• LCM of 699, 31, 107
• LCM of 130, 46, 136
• LCM of 527, 61, 959

1. What is the LCM of 367, 39, 208?

Answer: LCM of 367, 39, 208 is 229008.

2. How to calculate the LCM of 367, 39, 208?

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 367, 39, 208.

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}.