Given numbers are 828,699,873,420,554

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

The LCM of 828,699,873,420,554 is 181428623460.

Find LCM of 828,699,873,420,554 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 233 x 97 x 35 x 277 = 181428623460

Therefore, the lowest common multiple of 828,699,873,420,554 is 181428623460.

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.

828 x 699 x 873 x 420 x 554 = 117565748002080

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.

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

699 : 1, 3, 233, 699

873 : 1, 3, 9, 97, 291, 873

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,699,873,420,554, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

699:3x 233

873:3x 3x 97

420:2x 2x 3x 5x 7

554:2x 277

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 117565748002080/(1x648)

LCM = 117565748002080/648

LCM = 181428623460

Thus, we can understand that the LCM of 828,699,873,420,554 is 181428623460.

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

• LCM of 966, 416, 101, 778, 923
• LCM of 591, 978, 469, 415, 166
• LCM of 839, 562, 592, 642, 749
• LCM of 305, 268, 426, 855, 293
• LCM of 751, 314, 140, 388, 493

1. What is the LCM of 828, 699, 873, 420, 554?

Answer: LCM of 828, 699, 873, 420, 554 is 181428623460.

2. How to calculate the LCM of 828, 699, 873, 420, 554?

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 828, 699, 873, 420, 554.

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}.