Given numbers are 317,215,473,145,575

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

The LCM of 317,215,473,145,575 is 2500266175.

Find LCM of 317,215,473,145,575 with Prime Factorization

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

5 x 43 x 317 x 1 x 11 x 29 x 115 = 2500266175

Therefore, the lowest common multiple of 317,215,473,145,575 is 2500266175.

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.

317 x 215 x 473 x 145 x 575 = 2687786138125

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.

317 : 1, 317

215 : 1, 5, 43, 215

473 : 1, 11, 43, 473

145 : 1, 5, 29, 145

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,215,473,145,575, is 1.

Now, the common factors can be found like this.

317:317

215:5x 43

473:11x 43

145:5x 29

575:5x 5x 23

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

5x 5x 43 = 1075

Therefore, the value for common factors is 1075.

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 = 2687786138125/(1x1075)

LCM = 2687786138125/1075

LCM = 2500266175

Thus, we can understand that the LCM of 317,215,473,145,575 is 2500266175.

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

• LCM of 748, 656, 509, 457, 659
• LCM of 492, 248, 562, 257, 880
• LCM of 456, 898, 921, 833, 625
• LCM of 342, 247, 947, 150, 781
• LCM of 631, 589, 335, 213, 424

1. What is the LCM of 317, 215, 473, 145, 575?

Answer: LCM of 317, 215, 473, 145, 575 is 2500266175.

2. How to calculate the LCM of 317, 215, 473, 145, 575?

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 317, 215, 473, 145, 575.

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}.