Given numbers are 857,328,273,414

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

The LCM of 857,328,273,414 is 5295005352.

Find LCM of 857,328,273,414 with Prime Factorization

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

2 x 3 x 857 x 164 x 91 x 69 = 5295005352

Therefore, the lowest common multiple of 857,328,273,414 is 5295005352.

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 328 x 273 x 414 = 31770032112

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

273 : 1, 3, 7, 13, 21, 39, 91, 273

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,328,273,414, is 1.

Now, the common factors can be found like this.

857:857

328:2x 2x 2x 41

273:3x 7x 13

414:2x 3x 3x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31770032112/(1x6)

LCM = 31770032112/6

LCM = 5295005352

Thus, we can understand that the LCM of 857,328,273,414 is 5295005352.

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

• LCM of 579, 505, 179, 150
• LCM of 473, 910, 387, 689
• LCM of 670, 188, 868, 126
• LCM of 423, 939, 488, 406
• LCM of 318, 605, 673, 810

1. What is the LCM of 857, 328, 273, 414?

Answer: LCM of 857, 328, 273, 414 is 5295005352.

2. How to calculate the LCM of 857, 328, 273, 414?

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, 328, 273, 414.

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}.