Given numbers are 561,305,440,425,544

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

The LCM of 561,305,440,425,544 is 27376800.

Find LCM of 561,305,440,425,544 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 17 x 3 x 61 x 1 x 5 x 4 = 27376800

Therefore, the lowest common multiple of 561,305,440,425,544 is 27376800.

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.

561 x 305 x 440 x 425 x 544 = 17406169440000

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

305 : 1, 5, 61, 305

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

425 : 1, 5, 17, 25, 85, 425

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,305,440,425,544, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

305:5x 61

440:2x 2x 2x 5x 11

425:5x 5x 17

544:2x 2x 2x 2x 2x 17

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 5x 5x 11x 17x 17 = 635800

Therefore, the value for common factors is 635800.

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 = 17406169440000/(1x635800)

LCM = 17406169440000/635800

LCM = 27376800

Thus, we can understand that the LCM of 561,305,440,425,544 is 27376800.

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

• LCM of 486, 986, 733, 881, 761
• LCM of 747, 100, 481, 697, 499
• LCM of 332, 542, 521, 696, 980
• LCM of 991, 759, 879, 142, 595
• LCM of 959, 595, 367, 769, 975

1. What is the LCM of 561, 305, 440, 425, 544?

Answer: LCM of 561, 305, 440, 425, 544 is 27376800.

2. How to calculate the LCM of 561, 305, 440, 425, 544?

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 561, 305, 440, 425, 544.

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}.