Given numbers are 364,104,354,208

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

The LCM of 364,104,354,208 is 257712.

Find LCM of 364,104,354,208 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 1 x 177 x 2 = 257712

Therefore, the lowest common multiple of 364,104,354,208 is 257712.

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.

364 x 104 x 354 x 208 = 2787412992

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,104,354,208, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

104:2x 2x 2x 13

354:2x 3x 59

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.

2x 2x 2x 2x 2x 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 2787412992/(2x5408)

LCM = 2787412992/10816

LCM = 257712

Thus, we can understand that the LCM of 364,104,354,208 is 257712.

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

• LCM of 394, 386, 108, 589
• LCM of 253, 500, 157, 263
• LCM of 575, 606, 512, 289
• LCM of 178, 558, 215, 112
• LCM of 332, 299, 753, 822

1. What is the LCM of 364, 104, 354, 208?

Answer: LCM of 364, 104, 354, 208 is 257712.

2. How to calculate the LCM of 364, 104, 354, 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 364, 104, 354, 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}.