Given numbers are 807,628,128,756,268

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

The LCM of 807,628,128,756,268 is 68453949312.

Find LCM of 807,628,128,756,268 with Prime Factorization

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

2 x 2 x 3 x 269 x 157 x 32 x 63 x 67 = 68453949312

Therefore, the lowest common multiple of 807,628,128,756,268 is 68453949312.

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.

807 x 628 x 128 x 756 x 268 = 13143158267904

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.

807 : 1, 3, 269, 807

628 : 1, 2, 4, 157, 314, 628

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

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

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,628,128,756,268, is 1.

Now, the common factors can be found like this.

807:3x 269

628:2x 2x 157

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

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

268:2x 2x 67

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 3 = 192

Therefore, the value for common factors is 192.

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 = 13143158267904/(1x192)

LCM = 13143158267904/192

LCM = 68453949312

Thus, we can understand that the LCM of 807,628,128,756,268 is 68453949312.

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

• LCM of 478, 840, 148, 522, 174
• LCM of 733, 242, 576, 996, 390
• LCM of 930, 415, 314, 421, 360
• LCM of 659, 671, 818, 223, 712
• LCM of 813, 998, 588, 866, 309

1. What is the LCM of 807, 628, 128, 756, 268?

Answer: LCM of 807, 628, 128, 756, 268 is 68453949312.

2. How to calculate the LCM of 807, 628, 128, 756, 268?

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 807, 628, 128, 756, 268.

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}.