Given numbers are 514,939,798,540

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

The LCM of 514,939,798,540 is 5777272620.

Find LCM of 514,939,798,540 with Prime Factorization

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

2 x 3 x 257 x 313 x 133 x 90 = 5777272620

Therefore, the lowest common multiple of 514,939,798,540 is 5777272620.

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 939 x 798 x 540 = 207981814320

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

939 : 1, 3, 313, 939

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 514,939,798,540, is 1.

Now, the common factors can be found like this.

514:2x 257

939:3x 313

798:2x 3x 7x 19

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 3 = 36

Therefore, the value for common factors is 36.

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 = 207981814320/(1x36)

LCM = 207981814320/36

LCM = 5777272620

Thus, we can understand that the LCM of 514,939,798,540 is 5777272620.

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

• LCM of 248, 494, 101, 904
• LCM of 694, 396, 707, 878
• LCM of 789, 443, 736, 679
• LCM of 462, 194, 447, 690
• LCM of 283, 133, 434, 204

1. What is the LCM of 514, 939, 798, 540?

Answer: LCM of 514, 939, 798, 540 is 5777272620.

2. How to calculate the LCM of 514, 939, 798, 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 514, 939, 798, 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}.