Given numbers are 480,474,381,791,324

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

The LCM of 480,474,381,791,324 is 102851894880.

Find LCM of 480,474,381,791,324 with Prime Factorization

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

2 x 2 x 3 x 40 x 79 x 127 x 791 x 27 = 102851894880

Therefore, the lowest common multiple of 480,474,381,791,324 is 102851894880.

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 474 x 381 x 791 x 324 = 22216009294080

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

381 : 1, 3, 127, 381

791 : 1, 7, 113, 791

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,474,381,791,324, is 1.

Now, the common factors can be found like this.

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

474:2x 3x 79

381:3x 127

791:7x 113

324:2x 2x 3x 3x 3x 3

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 22216009294080/(1x216)

LCM = 22216009294080/216

LCM = 102851894880

Thus, we can understand that the LCM of 480,474,381,791,324 is 102851894880.

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

• LCM of 425, 768, 147, 876, 310
• LCM of 876, 403, 633, 937, 600
• LCM of 493, 692, 144, 990, 442
• LCM of 283, 153, 368, 373, 240
• LCM of 254, 137, 500, 124, 924

1. What is the LCM of 480, 474, 381, 791, 324?

Answer: LCM of 480, 474, 381, 791, 324 is 102851894880.

2. How to calculate the LCM of 480, 474, 381, 791, 324?

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, 474, 381, 791, 324.

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}.