Given numbers are 589,474,990,112,714

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

The LCM of 589,474,990,112,714 is 43854536880.

Find LCM of 589,474,990,112,714 with Prime Factorization

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

2 x 3 x 7 x 589 x 79 x 165 x 8 x 17 = 43854536880

Therefore, the lowest common multiple of 589,474,990,112,714 is 43854536880.

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.

589 x 474 x 990 x 112 x 714 = 22102686587520

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.

589 : 1, 19, 31, 589

474 : 1, 2, 3, 6, 79, 158, 237, 474

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,474,990,112,714, is 1.

Now, the common factors can be found like this.

589:19x 31

474:2x 3x 79

990:2x 3x 3x 5x 11

112:2x 2x 2x 2x 7

714:2x 3x 7x 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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 22102686587520/(1x504)

LCM = 22102686587520/504

LCM = 43854536880

Thus, we can understand that the LCM of 589,474,990,112,714 is 43854536880.

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

• LCM of 541, 970, 335, 742, 820
• LCM of 228, 995, 428, 612, 214
• LCM of 237, 493, 687, 540, 164
• LCM of 688, 175, 574, 111, 412
• LCM of 512, 623, 861, 159, 601

1. What is the LCM of 589, 474, 990, 112, 714?

Answer: LCM of 589, 474, 990, 112, 714 is 43854536880.

2. How to calculate the LCM of 589, 474, 990, 112, 714?

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 589, 474, 990, 112, 714.

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}.