Given numbers are 512,343,128,283

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

The LCM of 512,343,128,283 is 49699328.

Find LCM of 512,343,128,283 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 4 x 343 x 1 x 283 = 49699328

Therefore, the lowest common multiple of 512,343,128,283 is 49699328.

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.

512 x 343 x 128 x 283 = 6361513984

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.

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

343 : 1, 7, 49, 343

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

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,343,128,283, is 1.

Now, the common factors can be found like this.

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

343:7x 7x 7

128:2x 2x 2x 2x 2x 2x 2

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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 6361513984/(1x128)

LCM = 6361513984/128

LCM = 49699328

Thus, we can understand that the LCM of 512,343,128,283 is 49699328.

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

• LCM of 987, 840, 405, 233
• LCM of 936, 864, 601, 985
• LCM of 946, 148, 797, 845
• LCM of 101, 104, 421, 520
• LCM of 829, 999, 232, 321

1. What is the LCM of 512, 343, 128, 283?

Answer: LCM of 512, 343, 128, 283 is 49699328.

2. How to calculate the LCM of 512, 343, 128, 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 512, 343, 128, 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}.