Given numbers are 408,562,824,539,561

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

The LCM of 408,562,824,539,561 is 6364913016.

Find LCM of 408,562,824,539,561 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 17 x 1 x 281 x 103 x 49 x 1 = 6364913016

Therefore, the lowest common multiple of 408,562,824,539,561 is 6364913016.

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.

408 x 562 x 824 x 539 x 561 = 57131459231616

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

562 : 1, 2, 281, 562

824 : 1, 2, 4, 8, 103, 206, 412, 824

539 : 1, 7, 11, 49, 77, 539

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,562,824,539,561, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

562:2x 281

824:2x 2x 2x 103

539:7x 7x 11

561:3x 11x 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 2x 3x 11x 17 = 8976

Therefore, the value for common factors is 8976.

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 = 57131459231616/(1x8976)

LCM = 57131459231616/8976

LCM = 6364913016

Thus, we can understand that the LCM of 408,562,824,539,561 is 6364913016.

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

• LCM of 239, 688, 943, 191, 141
• LCM of 824, 575, 766, 247, 801
• LCM of 473, 220, 253, 691, 768
• LCM of 723, 533, 157, 606, 552
• LCM of 537, 356, 446, 181, 809

1. What is the LCM of 408, 562, 824, 539, 561?

Answer: LCM of 408, 562, 824, 539, 561 is 6364913016.

2. How to calculate the LCM of 408, 562, 824, 539, 561?

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 408, 562, 824, 539, 561.

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}.