Given numbers are 514,390,460,869

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

The LCM of 514,390,460,869 is 4006594020.

Find LCM of 514,390,460,869 with Prime Factorization

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

2 x 5 x 257 x 39 x 46 x 869 = 4006594020

Therefore, the lowest common multiple of 514,390,460,869 is 4006594020.

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.

514 x 390 x 460 x 869 = 80131880400

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.

514 : 1, 2, 257, 514

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,390,460,869, is 1.

Now, the common factors can be found like this.

514:2x 257

390:2x 3x 5x 13

460:2x 2x 5x 23

869:11x 79

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 5 = 20

Therefore, the value for common factors is 20.

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 = 80131880400/(1x20)

LCM = 80131880400/20

LCM = 4006594020

Thus, we can understand that the LCM of 514,390,460,869 is 4006594020.

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

• LCM of 469, 952, 850, 656
• LCM of 138, 949, 415, 773
• LCM of 928, 532, 973, 696
• LCM of 631, 515, 404, 551
• LCM of 802, 326, 559, 578

1. What is the LCM of 514, 390, 460, 869?

Answer: LCM of 514, 390, 460, 869 is 4006594020.

2. How to calculate the LCM of 514, 390, 460, 869?

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 514, 390, 460, 869.

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}.