Given numbers are 800,490,198,884

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

The LCM of 800,490,198,884 is 857656800.

Find LCM of 800,490,198,884 with Prime Factorization

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

2 x 2 x 5 x 40 x 49 x 99 x 221 = 857656800

Therefore, the lowest common multiple of 800,490,198,884 is 857656800.

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.

800 x 490 x 198 x 884 = 68612544000

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,490,198,884, is 2.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

490:2x 5x 7x 7

198:2x 3x 3x 11

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 5 = 40

Therefore, the value for common factors is 40.

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 = 68612544000/(2x40)

LCM = 68612544000/80

LCM = 857656800

Thus, we can understand that the LCM of 800,490,198,884 is 857656800.

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

• LCM of 601, 388, 209, 538
• LCM of 575, 513, 663, 456
• LCM of 196, 592, 593, 876
• LCM of 388, 931, 928, 492
• LCM of 938, 926, 165, 255

1. What is the LCM of 800, 490, 198, 884?

Answer: LCM of 800, 490, 198, 884 is 857656800.

2. How to calculate the LCM of 800, 490, 198, 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 800, 490, 198, 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}.