Given numbers are 256,128,823,462

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

The LCM of 256,128,823,462 is 48668928.

Find LCM of 256,128,823,462 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 823 x 231 = 48668928

Therefore, the lowest common multiple of 256,128,823,462 is 48668928.

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 823 x 462 = 12459245568

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

823 : 1, 823

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,128,823,462, 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

823:823

462:2x 3x 7x 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 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 = 12459245568/(1x256)

LCM = 12459245568/256

LCM = 48668928

Thus, we can understand that the LCM of 256,128,823,462 is 48668928.

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

• LCM of 299, 698, 711, 886
• LCM of 789, 783, 434, 304
• LCM of 259, 303, 946, 382
• LCM of 458, 835, 120, 188
• LCM of 484, 690, 749, 221

1. What is the LCM of 256, 128, 823, 462?

Answer: LCM of 256, 128, 823, 462 is 48668928.

2. How to calculate the LCM of 256, 128, 823, 462?

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, 823, 462.

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}.