Given numbers are 338,213,355,725

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

The LCM of 338,213,355,725 is 52195650.

Find LCM of 338,213,355,725 with Prime Factorization

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

5 x 71 x 338 x 3 x 1 x 145 = 52195650

Therefore, the lowest common multiple of 338,213,355,725 is 52195650.

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 213 x 355 x 725 = 18529455750

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

213 : 1, 3, 71, 213

355 : 1, 5, 71, 355

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,213,355,725, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

213:3x 71

355:5x 71

725:5x 5x 29

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

5x 71 = 355

Therefore, the value for common factors is 355.

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 = 18529455750/(1x355)

LCM = 18529455750/355

LCM = 52195650

Thus, we can understand that the LCM of 338,213,355,725 is 52195650.

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

• LCM of 500, 740, 620, 120
• LCM of 885, 376, 170, 930
• LCM of 461, 887, 152, 880
• LCM of 476, 964, 299, 844
• LCM of 419, 813, 960, 498

1. What is the LCM of 338, 213, 355, 725?

Answer: LCM of 338, 213, 355, 725 is 52195650.

2. How to calculate the LCM of 338, 213, 355, 725?

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, 213, 355, 725.

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}.