Given numbers are 256,120,125,790

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

The LCM of 256,120,125,790 is 7584000.

Find LCM of 256,120,125,790 with Prime Factorization

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

2 x 2 x 2 x 5 x 32 x 3 x 25 x 79 = 7584000

Therefore, the lowest common multiple of 256,120,125,790 is 7584000.

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 120 x 125 x 790 = 3033600000

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

125 : 1, 5, 25, 125

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,120,125,790, is 1.

Now, the common factors can be found like this.

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

120:2x 2x 2x 3x 5

125:5x 5x 5

790:2x 5x 79

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 3033600000/(1x400)

LCM = 3033600000/400

LCM = 7584000

Thus, we can understand that the LCM of 256,120,125,790 is 7584000.

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

• LCM of 359, 895, 973, 609
• LCM of 118, 316, 152, 933
• LCM of 625, 499, 231, 777
• LCM of 813, 859, 684, 596
• LCM of 978, 974, 499, 202

1. What is the LCM of 256, 120, 125, 790?

Answer: LCM of 256, 120, 125, 790 is 7584000.

2. How to calculate the LCM of 256, 120, 125, 790?

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, 120, 125, 790.

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}.