Given numbers are 464,857,290,214

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

The LCM of 464,857,290,214 is 212741680.

Find LCM of 464,857,290,214 with Prime Factorization

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

2 x 29 x 8 x 857 x 5 x 107 = 212741680

Therefore, the lowest common multiple of 464,857,290,214 is 212741680.

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.

464 x 857 x 290 x 214 = 24678034880

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

857 : 1, 857

290 : 1, 2, 5, 10, 29, 58, 145, 290

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,857,290,214, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

857:857

290:2x 5x 29

214:2x 107

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

2x 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 24678034880/(1x116)

LCM = 24678034880/116

LCM = 212741680

Thus, we can understand that the LCM of 464,857,290,214 is 212741680.

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

• LCM of 227, 716, 194, 860
• LCM of 320, 104, 513, 150
• LCM of 743, 279, 992, 419
• LCM of 215, 260, 673, 631
• LCM of 590, 923, 359, 834

1. What is the LCM of 464, 857, 290, 214?

Answer: LCM of 464, 857, 290, 214 is 212741680.

2. How to calculate the LCM of 464, 857, 290, 214?

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 464, 857, 290, 214.

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}.