Given numbers are 361,412,475,721

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

The LCM of 361,412,475,721 is 26028100.

Find LCM of 361,412,475,721 with Prime Factorization

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

19 x 103 x 19 x 4 x 25 x 7 = 26028100

Therefore, the lowest common multiple of 361,412,475,721 is 26028100.

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.

361 x 412 x 475 x 721 = 50936991700

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.

361 : 1, 19, 361

412 : 1, 2, 4, 103, 206, 412

475 : 1, 5, 19, 25, 95, 475

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,412,475,721, is 1.

Now, the common factors can be found like this.

361:19x 19

412:2x 2x 103

475:5x 5x 19

721:7x 103

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

19x 103 = 1957

Therefore, the value for common factors is 1957.

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 = 50936991700/(1x1957)

LCM = 50936991700/1957

LCM = 26028100

Thus, we can understand that the LCM of 361,412,475,721 is 26028100.

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

• LCM of 232, 833, 531, 256
• LCM of 117, 698, 413, 654
• LCM of 922, 282, 280, 560
• LCM of 957, 789, 869, 162
• LCM of 463, 143, 846, 768

1. What is the LCM of 361, 412, 475, 721?

Answer: LCM of 361, 412, 475, 721 is 26028100.

2. How to calculate the LCM of 361, 412, 475, 721?

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 361, 412, 475, 721.

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}.