Given numbers are 480,638,394,257,120

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

The LCM of 480,638,394,257,120 is 7752312480.

Find LCM of 480,638,394,257,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 4 x 319 x 197 x 257 x 1 = 7752312480

Therefore, the lowest common multiple of 480,638,394,257,120 is 7752312480.

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.

480 x 638 x 394 x 257 x 120 = 3721109990400

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.

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

394 : 1, 2, 197, 394

257 : 1, 257

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,638,394,257,120, is 1.

Now, the common factors can be found like this.

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

638:2x 11x 29

394:2x 197

257:257

120:2x 2x 2x 3x 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 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 3721109990400/(1x480)

LCM = 3721109990400/480

LCM = 7752312480

Thus, we can understand that the LCM of 480,638,394,257,120 is 7752312480.

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

• LCM of 818, 536, 573, 814, 229
• LCM of 209, 224, 836, 682, 522
• LCM of 651, 145, 301, 789, 558
• LCM of 495, 384, 416, 522, 571
• LCM of 448, 951, 476, 359, 936

1. What is the LCM of 480, 638, 394, 257, 120?

Answer: LCM of 480, 638, 394, 257, 120 is 7752312480.

2. How to calculate the LCM of 480, 638, 394, 257, 120?

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 480, 638, 394, 257, 120.

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}.