Given numbers are 831,646,390,540

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

The LCM of 831,646,390,540 is 628086420.

Find LCM of 831,646,390,540 with Prime Factorization

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

2 x 3 x 5 x 277 x 323 x 13 x 18 = 628086420

Therefore, the lowest common multiple of 831,646,390,540 is 628086420.

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.

831 x 646 x 390 x 540 = 113055555600

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.

831 : 1, 3, 277, 831

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,646,390,540, is 1.

Now, the common factors can be found like this.

831:3x 277

646:2x 17x 19

390:2x 3x 5x 13

540:2x 2x 3x 3x 3x 5

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 113055555600/(1x180)

LCM = 113055555600/180

LCM = 628086420

Thus, we can understand that the LCM of 831,646,390,540 is 628086420.

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

• LCM of 945, 426, 810, 990
• LCM of 300, 405, 432, 525
• LCM of 506, 971, 554, 546
• LCM of 314, 180, 677, 720
• LCM of 458, 482, 118, 531

1. What is the LCM of 831, 646, 390, 540?

Answer: LCM of 831, 646, 390, 540 is 628086420.

2. How to calculate the LCM of 831, 646, 390, 540?

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 831, 646, 390, 540.

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}.