Given numbers are 948,440,504,394,406

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

The LCM of 948,440,504,394,406 is 12510784440.

Find LCM of 948,440,504,394,406 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 79 x 55 x 3 x 197 x 29 = 12510784440

Therefore, the lowest common multiple of 948,440,504,394,406 is 12510784440.

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.

948 x 440 x 504 x 394 x 406 = 33628988574720

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

394 : 1, 2, 197, 394

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,440,504,394,406, is 2.

Now, the common factors can be found like this.

948:2x 2x 3x 79

440:2x 2x 2x 5x 11

504:2x 2x 2x 3x 3x 7

394:2x 197

406:2x 7x 29

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 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 33628988574720/(2x1344)

LCM = 33628988574720/2688

LCM = 12510784440

Thus, we can understand that the LCM of 948,440,504,394,406 is 12510784440.

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

• LCM of 633, 874, 752, 592, 925
• LCM of 254, 755, 821, 117, 308
• LCM of 375, 969, 865, 529, 528
• LCM of 127, 752, 796, 986, 140
• LCM of 132, 769, 539, 181, 364

1. What is the LCM of 948, 440, 504, 394, 406?

Answer: LCM of 948, 440, 504, 394, 406 is 12510784440.

2. How to calculate the LCM of 948, 440, 504, 394, 406?

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 948, 440, 504, 394, 406.

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}.