Given numbers are 331,104,546,468,772

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

The LCM of 331,104,546,468,772 is 418561416.

Find LCM of 331,104,546,468,772 with Prime Factorization

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

2 x 2 x 3 x 13 x 331 x 2 x 7 x 3 x 193 = 418561416

Therefore, the lowest common multiple of 331,104,546,468,772 is 418561416.

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.

331 x 104 x 546 x 468 x 772 = 6790740413184

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.

331 : 1, 331

104 : 1, 2, 4, 8, 13, 26, 52, 104

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,104,546,468,772, is 1.

Now, the common factors can be found like this.

331:331

104:2x 2x 2x 13

546:2x 3x 7x 13

468:2x 2x 3x 3x 13

772:2x 2x 193

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 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 6790740413184/(1x16224)

LCM = 6790740413184/16224

LCM = 418561416

Thus, we can understand that the LCM of 331,104,546,468,772 is 418561416.

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

• LCM of 467, 144, 473, 282, 545
• LCM of 776, 201, 759, 962, 220
• LCM of 850, 905, 116, 466, 298
• LCM of 126, 617, 104, 537, 917
• LCM of 343, 378, 571, 522, 476

1. What is the LCM of 331, 104, 546, 468, 772?

Answer: LCM of 331, 104, 546, 468, 772 is 418561416.

2. How to calculate the LCM of 331, 104, 546, 468, 772?

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 331, 104, 546, 468, 772.

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}.