LCM of 986, 474, 338, 522, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 474, 338, 522, 312 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 986, 474, 338, 522, 312. So, keep reading to learn more.
Given numbers are 986,474,338,522,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,474,338,522,312 is 473907096.
Find LCM of 986,474,338,522,312 with Prime Factorization
| 2 | 986, 474, 338, 522, 312 |
| 3 | 493, 237, 169, 261, 156 |
| 13 | 493, 79, 169, 87, 52 |
| 29 | 493, 79, 13, 87, 4 |
| 17, 79, 13, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 17 x 79 x 13 x 3 x 4 = 473907096
Therefore, the lowest common multiple of 986,474,338,522,312 is 473907096.
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 474 x 338 x 522 x 312 = 25727468427648
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
474 : 1, 2, 3, 6, 79, 158, 237, 474
338 : 1, 2, 13, 26, 169, 338
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,474,338,522,312, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
474:2x 3x 79
338:2x 13x 13
522:2x 3x 3x 29
312:2x 2x 2x 3x 13
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 13x 29 = 27144
Therefore, the value for common factors is 27144.
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 = 25727468427648/(2x27144)
LCM = 25727468427648/54288
LCM = 473907096
Thus, we can understand that the LCM of 986,474,338,522,312 is 473907096.
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FAQs on LCM of 986, 474, 338, 522, 312
1. What is the LCM of 986, 474, 338, 522, 312?
Answer: LCM of 986, 474, 338, 522, 312 is 473907096.
2. How to calculate the LCM of 986, 474, 338, 522, 312?
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, 474, 338, 522, 312.
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}.