Given numbers are 857,248,217,305

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

The LCM of 857,248,217,305 is 453764360.

Find LCM of 857,248,217,305 with Prime Factorization

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

31 x 857 x 8 x 7 x 305 = 453764360

Therefore, the lowest common multiple of 857,248,217,305 is 453764360.

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.

857 x 248 x 217 x 305 = 14066695160

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.

857 : 1, 857

248 : 1, 2, 4, 8, 31, 62, 124, 248

217 : 1, 7, 31, 217

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,248,217,305, is 1.

Now, the common factors can be found like this.

857:857

248:2x 2x 2x 31

217:7x 31

305:5x 61

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

31 = 31

Therefore, the value for common factors is 31.

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 = 14066695160/(1x31)

LCM = 14066695160/31

LCM = 453764360

Thus, we can understand that the LCM of 857,248,217,305 is 453764360.

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

• LCM of 184, 149, 249, 727
• LCM of 414, 228, 450, 756
• LCM of 100, 188, 874, 327
• LCM of 747, 112, 128, 892
• LCM of 368, 442, 455, 164

1. What is the LCM of 857, 248, 217, 305?

Answer: LCM of 857, 248, 217, 305 is 453764360.

2. How to calculate the LCM of 857, 248, 217, 305?

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 857, 248, 217, 305.

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}.