Given numbers are 890,393,986,400,218

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

The LCM of 890,393,986,400,218 is 751823619600.

Find LCM of 890,393,986,400,218 with Prime Factorization

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

2 x 5 x 89 x 393 x 493 x 40 x 109 = 751823619600

Therefore, the lowest common multiple of 890,393,986,400,218 is 751823619600.

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.

890 x 393 x 986 x 400 x 218 = 30072944784000

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

393 : 1, 3, 131, 393

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,393,986,400,218, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

393:3x 131

986:2x 17x 29

400:2x 2x 2x 2x 5x 5

218:2x 109

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 = 30072944784000/(1x40)

LCM = 30072944784000/40

LCM = 751823619600

Thus, we can understand that the LCM of 890,393,986,400,218 is 751823619600.

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

• LCM of 608, 947, 747, 596, 215
• LCM of 740, 806, 450, 200, 154
• LCM of 555, 228, 427, 976, 531
• LCM of 987, 141, 598, 346, 764
• LCM of 109, 723, 956, 390, 232

1. What is the LCM of 890, 393, 986, 400, 218?

Answer: LCM of 890, 393, 986, 400, 218 is 751823619600.

2. How to calculate the LCM of 890, 393, 986, 400, 218?

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 890, 393, 986, 400, 218.

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}.