Given numbers are 128,614,471,209,380

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

The LCM of 128,614,471,209,380 is 19341294720.

Find LCM of 128,614,471,209,380 with Prime Factorization

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

2 x 2 x 19 x 32 x 307 x 471 x 11 x 5 = 19341294720

Therefore, the lowest common multiple of 128,614,471,209,380 is 19341294720.

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 614 x 471 x 209 x 380 = 2939876797440

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

614 : 1, 2, 307, 614

471 : 1, 3, 157, 471

209 : 1, 11, 19, 209

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,614,471,209,380, is 1.

Now, the common factors can be found like this.

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

614:2x 307

471:3x 157

209:11x 19

380:2x 2x 5x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 2939876797440/(1x152)

LCM = 2939876797440/152

LCM = 19341294720

Thus, we can understand that the LCM of 128,614,471,209,380 is 19341294720.

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

• LCM of 986, 200, 948, 171, 370
• LCM of 310, 839, 890, 180, 153
• LCM of 329, 283, 981, 369, 824
• LCM of 681, 746, 778, 845, 353
• LCM of 479, 500, 733, 991, 905

1. What is the LCM of 128, 614, 471, 209, 380?

Answer: LCM of 128, 614, 471, 209, 380 is 19341294720.

2. How to calculate the LCM of 128, 614, 471, 209, 380?

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, 614, 471, 209, 380.

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}.