Given numbers are 738,849,138,296

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

The LCM of 738,849,138,296 is 710939016.

Find LCM of 738,849,138,296 with Prime Factorization

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

2 x 3 x 123 x 283 x 23 x 148 = 710939016

Therefore, the lowest common multiple of 738,849,138,296 is 710939016.

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 849 x 138 x 296 = 25593804576

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

849 : 1, 3, 283, 849

138 : 1, 2, 3, 6, 23, 46, 69, 138

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,849,138,296, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

849:3x 283

138:2x 3x 23

296:2x 2x 2x 37

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 3 = 36

Therefore, the value for common factors is 36.

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 = 25593804576/(1x36)

LCM = 25593804576/36

LCM = 710939016

Thus, we can understand that the LCM of 738,849,138,296 is 710939016.

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

• LCM of 923, 797, 250, 897
• LCM of 746, 100, 542, 100
• LCM of 169, 687, 911, 928
• LCM of 729, 304, 312, 548
• LCM of 373, 517, 159, 530

1. What is the LCM of 738, 849, 138, 296?

Answer: LCM of 738, 849, 138, 296 is 710939016.

2. How to calculate the LCM of 738, 849, 138, 296?

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, 849, 138, 296.

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}.