Given numbers are 582,432,416,369,676

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

The LCM of 582,432,416,369,676 is 580705632.

Find LCM of 582,432,416,369,676 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 13 x 97 x 3 x 2 x 41 x 13 = 580705632

Therefore, the lowest common multiple of 582,432,416,369,676 is 580705632.

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.

582 x 432 x 416 x 369 x 676 = 26089942634496

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

369 : 1, 3, 9, 41, 123, 369

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,432,416,369,676, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

432:2x 2x 2x 2x 3x 3x 3

416:2x 2x 2x 2x 2x 13

369:3x 3x 41

676:2x 2x 13x 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 2x 2x 2x 2x 3x 3x 3x 13 = 44928

Therefore, the value for common factors is 44928.

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 = 26089942634496/(1x44928)

LCM = 26089942634496/44928

LCM = 580705632

Thus, we can understand that the LCM of 582,432,416,369,676 is 580705632.

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

• LCM of 846, 157, 712, 401, 920
• LCM of 850, 653, 492, 698, 710
• LCM of 561, 830, 656, 251, 950
• LCM of 431, 111, 645, 240, 635
• LCM of 665, 663, 218, 535, 191

1. What is the LCM of 582, 432, 416, 369, 676?

Answer: LCM of 582, 432, 416, 369, 676 is 580705632.

2. How to calculate the LCM of 582, 432, 416, 369, 676?

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 582, 432, 416, 369, 676.

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}.