Given numbers are 514,512,548,283

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

The LCM of 514,512,548,283 is 5101643264.

Find LCM of 514,512,548,283 with Prime Factorization

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

2 x 2 x 257 x 128 x 137 x 283 = 5101643264

Therefore, the lowest common multiple of 514,512,548,283 is 5101643264.

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 512 x 548 x 283 = 40813146112

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

548 : 1, 2, 4, 137, 274, 548

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,512,548,283, is 1.

Now, the common factors can be found like this.

514:2x 257

512:2x 2x 2x 2x 2x 2x 2x 2x 2

548:2x 2x 137

283:283

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 = 40813146112/(1x8)

LCM = 40813146112/8

LCM = 5101643264

Thus, we can understand that the LCM of 514,512,548,283 is 5101643264.

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

• LCM of 680, 805, 853, 157
• LCM of 367, 824, 111, 834
• LCM of 787, 136, 962, 741
• LCM of 828, 187, 967, 167
• LCM of 808, 215, 816, 518

1. What is the LCM of 514, 512, 548, 283?

Answer: LCM of 514, 512, 548, 283 is 5101643264.

2. How to calculate the LCM of 514, 512, 548, 283?

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, 512, 548, 283.

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}.