Given numbers are 283,256,128,734

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

The LCM of 283,256,128,734 is 26588416.

Find LCM of 283,256,128,734 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 283 x 1 x 2 x 367 = 26588416

Therefore, the lowest common multiple of 283,256,128,734 is 26588416.

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.

283 x 256 x 128 x 734 = 6806634496

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.

283 : 1, 283

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

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

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,256,128,734, is 1.

Now, the common factors can be found like this.

283:283

256:2x 2x 2x 2x 2x 2x 2x 2

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

734:2x 367

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 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 6806634496/(1x256)

LCM = 6806634496/256

LCM = 26588416

Thus, we can understand that the LCM of 283,256,128,734 is 26588416.

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

• LCM of 909, 232, 349, 515
• LCM of 629, 731, 262, 786
• LCM of 860, 358, 403, 998
• LCM of 602, 238, 265, 498
• LCM of 394, 859, 250, 324

1. What is the LCM of 283, 256, 128, 734?

Answer: LCM of 283, 256, 128, 734 is 26588416.

2. How to calculate the LCM of 283, 256, 128, 734?

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 283, 256, 128, 734.

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}.