Given numbers are 338,313,795,724

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

The LCM of 338,313,795,724 is 30446455260.

Find LCM of 338,313,795,724 with Prime Factorization

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

2 x 169 x 313 x 795 x 362 = 30446455260

Therefore, the lowest common multiple of 338,313,795,724 is 30446455260.

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 795 x 724 = 60892910520

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

795 : 1, 3, 5, 15, 53, 159, 265, 795

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,313,795,724, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

313:313

795:3x 5x 53

724:2x 2x 181

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

2 = 2

Therefore, the value for common factors is 2.

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 = 60892910520/(1x2)

LCM = 60892910520/2

LCM = 30446455260

Thus, we can understand that the LCM of 338,313,795,724 is 30446455260.

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

• LCM of 759, 655, 379, 823
• LCM of 510, 687, 924, 595
• LCM of 377, 574, 976, 302
• LCM of 184, 809, 941, 209
• LCM of 630, 501, 427, 284

1. What is the LCM of 338, 313, 795, 724?

Answer: LCM of 338, 313, 795, 724 is 30446455260.

2. How to calculate the LCM of 338, 313, 795, 724?

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, 795, 724.

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}.