Given numbers are 561,562,724,282,810

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

The LCM of 561,562,724,282,810 is 724168072980.

Find LCM of 561,562,724,282,810 with Prime Factorization

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

2 x 3 x 187 x 281 x 362 x 47 x 135 = 724168072980

Therefore, the lowest common multiple of 561,562,724,282,810 is 724168072980.

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 562 x 724 x 282 x 810 = 52140101254560

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

562 : 1, 2, 281, 562

724 : 1, 2, 4, 181, 362, 724

282 : 1, 2, 3, 6, 47, 94, 141, 282

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,562,724,282,810, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

562:2x 281

724:2x 2x 181

282:2x 3x 47

810:2x 3x 3x 3x 3x 5

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 3 = 72

Therefore, the value for common factors is 72.

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 = 52140101254560/(1x72)

LCM = 52140101254560/72

LCM = 724168072980

Thus, we can understand that the LCM of 561,562,724,282,810 is 724168072980.

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

• LCM of 433, 280, 425, 881, 854
• LCM of 675, 441, 200, 209, 857
• LCM of 749, 632, 564, 121, 654
• LCM of 674, 712, 791, 250, 388
• LCM of 888, 214, 229, 671, 706

1. What is the LCM of 561, 562, 724, 282, 810?

Answer: LCM of 561, 562, 724, 282, 810 is 724168072980.

2. How to calculate the LCM of 561, 562, 724, 282, 810?

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, 562, 724, 282, 810.

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}.