Given numbers are 821,582,414,584,742

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

The LCM of 821,582,414,584,742 is 3571675490376.

Find LCM of 821,582,414,584,742 with Prime Factorization

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

2 x 3 x 821 x 97 x 69 x 292 x 371 = 3571675490376

Therefore, the lowest common multiple of 821,582,414,584,742 is 3571675490376.

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.

821 x 582 x 414 x 584 x 742 = 85720211769024

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.

821 : 1, 821

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

584 : 1, 2, 4, 8, 73, 146, 292, 584

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,582,414,584,742, is 1.

Now, the common factors can be found like this.

821:821

582:2x 3x 97

414:2x 3x 3x 23

584:2x 2x 2x 73

742:2x 7x 53

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 = 85720211769024/(1x24)

LCM = 85720211769024/24

LCM = 3571675490376

Thus, we can understand that the LCM of 821,582,414,584,742 is 3571675490376.

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

• LCM of 639, 409, 875, 990, 546
• LCM of 363, 802, 116, 765, 121
• LCM of 879, 738, 895, 178, 501
• LCM of 577, 629, 306, 732, 640
• LCM of 197, 598, 202, 871, 543

1. What is the LCM of 821, 582, 414, 584, 742?

Answer: LCM of 821, 582, 414, 584, 742 is 3571675490376.

2. How to calculate the LCM of 821, 582, 414, 584, 742?

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 821, 582, 414, 584, 742.

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}.