Given numbers are 338,313,507,923

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

The LCM of 338,313,507,923 is 22534122.

Find LCM of 338,313,507,923 with Prime Factorization

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

13 x 13 x 2 x 313 x 3 x 71 = 22534122

Therefore, the lowest common multiple of 338,313,507,923 is 22534122.

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.

338 x 313 x 507 x 923 = 49507466034

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.

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

313 : 1, 313

507 : 1, 3, 13, 39, 169, 507

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,313,507,923, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

313:313

507:3x 13x 13

923:13x 71

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

13x 13x 13 = 2197

Therefore, the value for common factors is 2197.

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 = 49507466034/(1x2197)

LCM = 49507466034/2197

LCM = 22534122

Thus, we can understand that the LCM of 338,313,507,923 is 22534122.

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

• LCM of 184, 303, 115, 604
• LCM of 871, 300, 583, 416
• LCM of 810, 576, 810, 944
• LCM of 486, 475, 432, 514
• LCM of 692, 149, 681, 810

1. What is the LCM of 338, 313, 507, 923?

Answer: LCM of 338, 313, 507, 923 is 22534122.

2. How to calculate the LCM of 338, 313, 507, 923?

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 338, 313, 507, 923.

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}.