Given numbers are 738,368,894,945

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

The LCM of 738,368,894,945 is 2124465840.

Find LCM of 738,368,894,945 with Prime Factorization

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

2 x 3 x 3 x 41 x 184 x 149 x 105 = 2124465840

Therefore, the lowest common multiple of 738,368,894,945 is 2124465840.

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.

738 x 368 x 894 x 945 = 229442310720

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

894 : 1, 2, 3, 6, 149, 298, 447, 894

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,368,894,945, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

368:2x 2x 2x 2x 23

894:2x 3x 149

945:3x 3x 3x 5x 7

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 229442310720/(1x108)

LCM = 229442310720/108

LCM = 2124465840

Thus, we can understand that the LCM of 738,368,894,945 is 2124465840.

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

• LCM of 589, 512, 826, 217
• LCM of 775, 453, 420, 434
• LCM of 165, 621, 658, 844
• LCM of 420, 147, 424, 309
• LCM of 174, 247, 813, 680

1. What is the LCM of 738, 368, 894, 945?

Answer: LCM of 738, 368, 894, 945 is 2124465840.

2. How to calculate the LCM of 738, 368, 894, 945?

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 738, 368, 894, 945.

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}.