Given numbers are 529,828,416,798,424

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

The LCM of 529,828,416,798,424 is 13961080224.

Find LCM of 529,828,416,798,424 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 23 x 3 x 52 x 133 x 53 = 13961080224

Therefore, the lowest common multiple of 529,828,416,798,424 is 13961080224.

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.

529 x 828 x 416 x 798 x 424 = 61652130269184

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.

529 : 1, 23, 529

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

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,828,416,798,424, is 1.

Now, the common factors can be found like this.

529:23x 23

828:2x 2x 3x 3x 23

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

798:2x 3x 7x 19

424:2x 2x 2x 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 2x 2x 2x 3x 23 = 4416

Therefore, the value for common factors is 4416.

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 = 61652130269184/(1x4416)

LCM = 61652130269184/4416

LCM = 13961080224

Thus, we can understand that the LCM of 529,828,416,798,424 is 13961080224.

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

• LCM of 479, 852, 455, 847, 883
• LCM of 407, 456, 248, 147, 401
• LCM of 982, 213, 697, 789, 291
• LCM of 708, 346, 481, 493, 991
• LCM of 219, 802, 946, 615, 363

1. What is the LCM of 529, 828, 416, 798, 424?

Answer: LCM of 529, 828, 416, 798, 424 is 13961080224.

2. How to calculate the LCM of 529, 828, 416, 798, 424?

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 529, 828, 416, 798, 424.

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}.