Given numbers are 256,128,421,788

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

The LCM of 256,128,421,788 is 21231872.

Find LCM of 256,128,421,788 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 1 x 2 x 421 x 197 = 21231872

Therefore, the lowest common multiple of 256,128,421,788 is 21231872.

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.

256 x 128 x 421 x 788 = 10870718464

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.

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

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

421 : 1, 421

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,128,421,788, is 1.

Now, the common factors can be found like this.

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

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

421:421

788:2x 2x 197

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 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 10870718464/(1x512)

LCM = 10870718464/512

LCM = 21231872

Thus, we can understand that the LCM of 256,128,421,788 is 21231872.

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

• LCM of 538, 892, 298, 413
• LCM of 712, 596, 882, 941
• LCM of 389, 326, 874, 320
• LCM of 359, 481, 732, 119
• LCM of 199, 134, 745, 583

1. What is the LCM of 256, 128, 421, 788?

Answer: LCM of 256, 128, 421, 788 is 21231872.

2. How to calculate the LCM of 256, 128, 421, 788?

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 256, 128, 421, 788.

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}.