Given numbers are 448,167,211,338,194

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

The LCM of 448,167,211,338,194 is 258782783168.

Find LCM of 448,167,211,338,194 with Prime Factorization

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

2 x 224 x 167 x 211 x 169 x 97 = 258782783168

Therefore, the lowest common multiple of 448,167,211,338,194 is 258782783168.

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.

448 x 167 x 211 x 338 x 194 = 1035131132672

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

167 : 1, 167

211 : 1, 211

338 : 1, 2, 13, 26, 169, 338

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,167,211,338,194, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

167:167

211:211

338:2x 13x 13

194:2x 97

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 = 1035131132672/(1x4)

LCM = 1035131132672/4

LCM = 258782783168

Thus, we can understand that the LCM of 448,167,211,338,194 is 258782783168.

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

• LCM of 526, 506, 350, 545, 236
• LCM of 780, 880, 126, 330, 933
• LCM of 309, 247, 808, 883, 699
• LCM of 482, 273, 458, 519, 878
• LCM of 653, 249, 341, 815, 178

1. What is the LCM of 448, 167, 211, 338, 194?

Answer: LCM of 448, 167, 211, 338, 194 is 258782783168.

2. How to calculate the LCM of 448, 167, 211, 338, 194?

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 448, 167, 211, 338, 194.

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}.