Given numbers are 561,737,405,104,624

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

The LCM of 561,737,405,104,624 is 1055442960.

Find LCM of 561,737,405,104,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 17 x 67 x 135 x 1 x 2 = 1055442960

Therefore, the lowest common multiple of 561,737,405,104,624 is 1055442960.

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 737 x 405 x 104 x 624 = 10866840716160

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

737 : 1, 11, 67, 737

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,737,405,104,624, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

737:11x 67

405:3x 3x 3x 3x 5

104:2x 2x 2x 13

624:2x 2x 2x 2x 3x 13

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 3x 11x 13 = 10296

Therefore, the value for common factors is 10296.

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 = 10866840716160/(1x10296)

LCM = 10866840716160/10296

LCM = 1055442960

Thus, we can understand that the LCM of 561,737,405,104,624 is 1055442960.

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

• LCM of 462, 244, 288, 913, 277
• LCM of 631, 657, 763, 691, 783
• LCM of 573, 833, 726, 323, 234
• LCM of 857, 730, 720, 995, 736
• LCM of 927, 970, 345, 511, 436

1. What is the LCM of 561, 737, 405, 104, 624?

Answer: LCM of 561, 737, 405, 104, 624 is 1055442960.

2. How to calculate the LCM of 561, 737, 405, 104, 624?

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, 737, 405, 104, 624.

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}.