Given numbers are 916,148,324,372,440

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

The LCM of 916,148,324,372,440 is 9361309320.

Find LCM of 916,148,324,372,440 with Prime Factorization

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

2 x 2 x 3 x 229 x 37 x 27 x 31 x 110 = 9361309320

Therefore, the lowest common multiple of 916,148,324,372,440 is 9361309320.

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.

916 x 148 x 324 x 372 x 440 = 7189485557760

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.

916 : 1, 2, 4, 229, 458, 916

148 : 1, 2, 4, 37, 74, 148

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,148,324,372,440, is 4.

Now, the common factors can be found like this.

916:2x 2x 229

148:2x 2x 37

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

372:2x 2x 3x 31

440:2x 2x 2x 5x 11

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 = 7189485557760/(4x192)

LCM = 7189485557760/768

LCM = 9361309320

Thus, we can understand that the LCM of 916,148,324,372,440 is 9361309320.

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

• LCM of 729, 453, 506, 226, 368
• LCM of 111, 701, 437, 853, 344
• LCM of 547, 759, 248, 173, 753
• LCM of 990, 318, 893, 406, 296
• LCM of 575, 596, 826, 230, 635

1. What is the LCM of 916, 148, 324, 372, 440?

Answer: LCM of 916, 148, 324, 372, 440 is 9361309320.

2. How to calculate the LCM of 916, 148, 324, 372, 440?

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 916, 148, 324, 372, 440.

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}.