Given numbers are 565,318,569,828,616

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

The LCM of 565,318,569,828,616 is 2172639351960.

Find LCM of 565,318,569,828,616 with Prime Factorization

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

2 x 2 x 3 x 565 x 53 x 569 x 69 x 154 = 2172639351960

Therefore, the lowest common multiple of 565,318,569,828,616 is 2172639351960.

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.

565 x 318 x 569 x 828 x 616 = 52143344447040

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.

565 : 1, 5, 113, 565

318 : 1, 2, 3, 6, 53, 106, 159, 318

569 : 1, 569

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,318,569,828,616, is 1.

Now, the common factors can be found like this.

565:5x 113

318:2x 3x 53

569:569

828:2x 2x 3x 3x 23

616:2x 2x 2x 7x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 52143344447040/(1x24)

LCM = 52143344447040/24

LCM = 2172639351960

Thus, we can understand that the LCM of 565,318,569,828,616 is 2172639351960.

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

• LCM of 919, 663, 187, 723, 134
• LCM of 275, 338, 693, 667, 788
• LCM of 241, 250, 445, 373, 341
• LCM of 432, 232, 637, 692, 376
• LCM of 576, 605, 834, 934, 362

1. What is the LCM of 565, 318, 569, 828, 616?

Answer: LCM of 565, 318, 569, 828, 616 is 2172639351960.

2. How to calculate the LCM of 565, 318, 569, 828, 616?

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 565, 318, 569, 828, 616.

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}.