Given numbers are 128,709,135,174,634

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

The LCM of 128,709,135,174,634 is 112628223360.

Find LCM of 128,709,135,174,634 with Prime Factorization

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

2 x 3 x 64 x 709 x 45 x 29 x 317 = 112628223360

Therefore, the lowest common multiple of 128,709,135,174,634 is 112628223360.

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.

128 x 709 x 135 x 174 x 634 = 1351538680320

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.

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

709 : 1, 709

135 : 1, 3, 5, 9, 15, 27, 45, 135

174 : 1, 2, 3, 6, 29, 58, 87, 174

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,709,135,174,634, is 1.

Now, the common factors can be found like this.

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

709:709

135:3x 3x 3x 5

174:2x 3x 29

634:2x 317

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1351538680320/(1x12)

LCM = 1351538680320/12

LCM = 112628223360

Thus, we can understand that the LCM of 128,709,135,174,634 is 112628223360.

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

• LCM of 340, 338, 611, 907, 821
• LCM of 513, 858, 766, 158, 612
• LCM of 831, 976, 308, 626, 832
• LCM of 988, 386, 506, 788, 356
• LCM of 742, 440, 293, 685, 782

1. What is the LCM of 128, 709, 135, 174, 634?

Answer: LCM of 128, 709, 135, 174, 634 is 112628223360.

2. How to calculate the LCM of 128, 709, 135, 174, 634?

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 128, 709, 135, 174, 634.

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}.