Given numbers are 516,314,214,484

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

The LCM of 516,314,214,484 is 1048862364.

Find LCM of 516,314,214,484 with Prime Factorization

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

2 x 2 x 129 x 157 x 107 x 121 = 1048862364

Therefore, the lowest common multiple of 516,314,214,484 is 1048862364.

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.

516 x 314 x 214 x 484 = 16781797824

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

314 : 1, 2, 157, 314

214 : 1, 2, 107, 214

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,314,214,484, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

314:2x 157

214:2x 107

484:2x 2x 11x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16781797824/(2x8)

LCM = 16781797824/16

LCM = 1048862364

Thus, we can understand that the LCM of 516,314,214,484 is 1048862364.

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

• LCM of 193, 348, 838, 801
• LCM of 226, 597, 304, 440
• LCM of 292, 705, 985, 632
• LCM of 333, 656, 648, 722
• LCM of 391, 882, 340, 448

1. What is the LCM of 516, 314, 214, 484?

Answer: LCM of 516, 314, 214, 484 is 1048862364.

2. How to calculate the LCM of 516, 314, 214, 484?

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 516, 314, 214, 484.

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}.