Given numbers are 759,128,257,320

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

The LCM of 759,128,257,320 is 124840320.

Find LCM of 759,128,257,320 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 759 x 2 x 257 x 5 = 124840320

Therefore, the lowest common multiple of 759,128,257,320 is 124840320.

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.

759 x 128 x 257 x 320 = 7989780480

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

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

257 : 1, 257

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,128,257,320, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

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

257:257

320:2x 2x 2x 2x 2x 2x 5

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 2 = 64

Therefore, the value for common factors is 64.

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 = 7989780480/(1x64)

LCM = 7989780480/64

LCM = 124840320

Thus, we can understand that the LCM of 759,128,257,320 is 124840320.

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

• LCM of 925, 331, 236, 247
• LCM of 911, 426, 351, 388
• LCM of 414, 960, 203, 811
• LCM of 272, 342, 537, 480
• LCM of 418, 872, 632, 446

1. What is the LCM of 759, 128, 257, 320?

Answer: LCM of 759, 128, 257, 320 is 124840320.

2. How to calculate the LCM of 759, 128, 257, 320?

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 759, 128, 257, 320.

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}.