LCM of 104, 840, 924, 338, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 840, 924, 338, 519 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 104, 840, 924, 338, 519. So, keep reading to learn more.
Given numbers are 104,840,924,338,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,840,924,338,519 is 270149880.
Find LCM of 104,840,924,338,519 with Prime Factorization
| 2 | 104, 840, 924, 338, 519 |
| 2 | 52, 420, 462, 169, 519 |
| 2 | 26, 210, 231, 169, 519 |
| 3 | 13, 105, 231, 169, 519 |
| 7 | 13, 35, 77, 169, 173 |
| 13 | 13, 5, 11, 169, 173 |
| 1, 5, 11, 13, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 1 x 5 x 11 x 13 x 173 = 270149880
Therefore, the lowest common multiple of 104,840,924,338,519 is 270149880.
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.
104 x 840 x 924 x 338 x 519 = 14160176110080
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
338 : 1, 2, 13, 26, 169, 338
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,840,924,338,519, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
840:2x 2x 2x 3x 5x 7
924:2x 2x 3x 7x 11
338:2x 13x 13
519:3x 173
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 2x 2x 2x 3x 3x 7x 13 = 52416
Therefore, the value for common factors is 52416.
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 = 14160176110080/(1x52416)
LCM = 14160176110080/52416
LCM = 270149880
Thus, we can understand that the LCM of 104,840,924,338,519 is 270149880.
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FAQs on LCM of 104, 840, 924, 338, 519
1. What is the LCM of 104, 840, 924, 338, 519?
Answer: LCM of 104, 840, 924, 338, 519 is 270149880.
2. How to calculate the LCM of 104, 840, 924, 338, 519?
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 104, 840, 924, 338, 519.
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}.