Given numbers are 475,36,417

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

The LCM of 475,36,417 is 2376900.

Find LCM of 475,36,417 with Prime Factorization

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

3 x 475 x 12 x 139 = 2376900

Therefore, the lowest common multiple of 475,36,417 is 2376900.

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.

475 x 36 x 417 = 7130700

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.

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

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,36,417, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

36:2x 2x 3x 3

417:3x 139

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

3 = 3

Therefore, the value for common factors is 3.

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 = 7130700/(1x3)

LCM = 7130700/3

LCM = 2376900

Thus, we can understand that the LCM of 475,36,417 is 2376900.

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

• LCM of 447, 80, 828
• LCM of 421, 47, 701
• LCM of 830, 64, 925
• LCM of 402, 17, 811
• LCM of 890, 92, 191

1. What is the LCM of 475, 36, 417?

Answer: LCM of 475, 36, 417 is 2376900.

2. How to calculate the LCM of 475, 36, 417?

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 475, 36, 417.

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}.