Given numbers are 289,480,128,806,381

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

The LCM of 289,480,128,806,381 is 28399313280.

Find LCM of 289,480,128,806,381 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 289 x 5 x 4 x 403 x 127 = 28399313280

Therefore, the lowest common multiple of 289,480,128,806,381 is 28399313280.

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.

289 x 480 x 128 x 806 x 381 = 5452668149760

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.

289 : 1, 17, 289

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,480,128,806,381, is 1.

Now, the common factors can be found like this.

289:17x 17

480:2x 2x 2x 2x 2x 3x 5

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

806:2x 13x 31

381:3x 127

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 = 5452668149760/(1x192)

LCM = 5452668149760/192

LCM = 28399313280

Thus, we can understand that the LCM of 289,480,128,806,381 is 28399313280.

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

• LCM of 845, 108, 962, 594, 507
• LCM of 795, 560, 161, 883, 339
• LCM of 229, 739, 280, 316, 360
• LCM of 957, 296, 986, 408, 345
• LCM of 863, 786, 352, 479, 523

1. What is the LCM of 289, 480, 128, 806, 381?

Answer: LCM of 289, 480, 128, 806, 381 is 28399313280.

2. How to calculate the LCM of 289, 480, 128, 806, 381?

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 289, 480, 128, 806, 381.

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}.