Given numbers are 367,268,447,745

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

The LCM of 367,268,447,745 is 219825660.

Find LCM of 367,268,447,745 with Prime Factorization

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

149 x 367 x 268 x 3 x 5 = 219825660

Therefore, the lowest common multiple of 367,268,447,745 is 219825660.

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 268 x 447 x 745 = 32754023340

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

268 : 1, 2, 4, 67, 134, 268

447 : 1, 3, 149, 447

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,268,447,745, is 1.

Now, the common factors can be found like this.

367:367

268:2x 2x 67

447:3x 149

745:5x 149

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

149 = 149

Therefore, the value for common factors is 149.

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 = 32754023340/(1x149)

LCM = 32754023340/149

LCM = 219825660

Thus, we can understand that the LCM of 367,268,447,745 is 219825660.

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

• LCM of 853, 288, 256, 847
• LCM of 978, 131, 240, 947
• LCM of 865, 727, 559, 983
• LCM of 617, 545, 616, 210
• LCM of 614, 640, 769, 854

1. What is the LCM of 367, 268, 447, 745?

Answer: LCM of 367, 268, 447, 745 is 219825660.

2. How to calculate the LCM of 367, 268, 447, 745?

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, 268, 447, 745.

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}.