Given numbers are 514,508,133,966

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

The LCM of 514,508,133,966 is 1198112412.

Find LCM of 514,508,133,966 with Prime Factorization

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

2 x 7 x 257 x 254 x 19 x 69 = 1198112412

Therefore, the lowest common multiple of 514,508,133,966 is 1198112412.

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 508 x 133 x 966 = 33547147536

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

508 : 1, 2, 4, 127, 254, 508

133 : 1, 7, 19, 133

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,508,133,966, is 1.

Now, the common factors can be found like this.

514:2x 257

508:2x 2x 127

133:7x 19

966:2x 3x 7x 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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 33547147536/(1x28)

LCM = 33547147536/28

LCM = 1198112412

Thus, we can understand that the LCM of 514,508,133,966 is 1198112412.

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

• LCM of 873, 180, 695, 793
• LCM of 942, 336, 428, 538
• LCM of 133, 218, 283, 914
• LCM of 999, 584, 681, 461
• LCM of 633, 796, 894, 644

1. What is the LCM of 514, 508, 133, 966?

Answer: LCM of 514, 508, 133, 966 is 1198112412.

2. How to calculate the LCM of 514, 508, 133, 966?

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, 508, 133, 966.

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}.