Given numbers are 256,128,304,756

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

The LCM of 256,128,304,756 is 919296.

Find LCM of 256,128,304,756 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 19 x 189 = 919296

Therefore, the lowest common multiple of 256,128,304,756 is 919296.

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 304 x 756 = 7530872832

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,128,304,756, is 4.

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

304:2x 2x 2x 2x 19

756:2x 2x 3x 3x 3x 7

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 2x 2x 2 = 2048

Therefore, the value for common factors is 2048.

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 = 7530872832/(4x2048)

LCM = 7530872832/8192

LCM = 919296

Thus, we can understand that the LCM of 256,128,304,756 is 919296.

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

• LCM of 823, 806, 124, 770
• LCM of 875, 954, 993, 427
• LCM of 155, 425, 267, 435
• LCM of 194, 405, 638, 586
• LCM of 902, 833, 264, 945

1. What is the LCM of 256, 128, 304, 756?

Answer: LCM of 256, 128, 304, 756 is 919296.

2. How to calculate the LCM of 256, 128, 304, 756?

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, 304, 756.

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}.