Given numbers are 364,420,844,884

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

The LCM of 364,420,844,884 is 19585020.

Find LCM of 364,420,844,884 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 15 x 211 x 17 = 19585020

Therefore, the lowest common multiple of 364,420,844,884 is 19585020.

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.

364 x 420 x 844 x 884 = 114063156480

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

844 : 1, 2, 4, 211, 422, 844

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,420,844,884, is 4.

Now, the common factors can be found like this.

364:2x 2x 7x 13

420:2x 2x 3x 5x 7

844:2x 2x 211

884:2x 2x 13x 17

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 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 114063156480/(4x1456)

LCM = 114063156480/5824

LCM = 19585020

Thus, we can understand that the LCM of 364,420,844,884 is 19585020.

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

• LCM of 729, 616, 446, 824
• LCM of 361, 917, 450, 127
• LCM of 835, 573, 573, 480
• LCM of 451, 445, 381, 741
• LCM of 359, 446, 625, 765

1. What is the LCM of 364, 420, 844, 884?

Answer: LCM of 364, 420, 844, 884 is 19585020.

2. How to calculate the LCM of 364, 420, 844, 884?

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 364, 420, 844, 884.

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}.