Given numbers are 435,205,460,257

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

The LCM of 435,205,460,257 is 421690740.

Find LCM of 435,205,460,257 with Prime Factorization

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

5 x 87 x 41 x 92 x 257 = 421690740

Therefore, the lowest common multiple of 435,205,460,257 is 421690740.

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.

435 x 205 x 460 x 257 = 10542268500

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

205 : 1, 5, 41, 205

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,205,460,257, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

205:5x 41

460:2x 2x 5x 23

257:257

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 10542268500/(1x25)

LCM = 10542268500/25

LCM = 421690740

Thus, we can understand that the LCM of 435,205,460,257 is 421690740.

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

• LCM of 129, 221, 647, 268
• LCM of 134, 560, 215, 909
• LCM of 195, 494, 149, 766
• LCM of 673, 696, 367, 572
• LCM of 964, 240, 631, 950

1. What is the LCM of 435, 205, 460, 257?

Answer: LCM of 435, 205, 460, 257 is 421690740.

2. How to calculate the LCM of 435, 205, 460, 257?

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 435, 205, 460, 257.

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}.