Given numbers are 986,686,754,900,394

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

The LCM of 986,686,754,900,394 is 389756285100.

Find LCM of 986,686,754,900,394 with Prime Factorization

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

2 x 29 x 17 x 343 x 13 x 450 x 197 = 389756285100

Therefore, the lowest common multiple of 986,686,754,900,394 is 389756285100.

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.

986 x 686 x 754 x 900 x 394 = 180846916286400

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.

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

754 : 1, 2, 13, 26, 29, 58, 377, 754

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,686,754,900,394, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

686:2x 7x 7x 7

754:2x 13x 29

900:2x 2x 3x 3x 5x 5

394:2x 197

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 29 = 232

Therefore, the value for common factors is 232.

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 = 180846916286400/(2x232)

LCM = 180846916286400/464

LCM = 389756285100

Thus, we can understand that the LCM of 986,686,754,900,394 is 389756285100.

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

• LCM of 690, 424, 916, 518, 872
• LCM of 922, 879, 581, 437, 802
• LCM of 455, 224, 213, 813, 930
• LCM of 804, 312, 102, 280, 789
• LCM of 200, 130, 548, 798, 980

1. What is the LCM of 986, 686, 754, 900, 394?

Answer: LCM of 986, 686, 754, 900, 394 is 389756285100.

2. How to calculate the LCM of 986, 686, 754, 900, 394?

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 986, 686, 754, 900, 394.

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}.