LCM of 990, 390, 715, 758, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 390, 715, 758, 338 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 990, 390, 715, 758, 338. So, keep reading to learn more.
Given numbers are 990,390,715,758,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,390,715,758,338 is 63410490.
Find LCM of 990,390,715,758,338 with Prime Factorization
| 2 | 990, 390, 715, 758, 338 |
| 3 | 495, 195, 715, 379, 169 |
| 5 | 165, 65, 715, 379, 169 |
| 11 | 33, 13, 143, 379, 169 |
| 13 | 3, 13, 13, 379, 169 |
| 3, 1, 1, 379, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 3 x 1 x 1 x 379 x 13 = 63410490
Therefore, the lowest common multiple of 990,390,715,758,338 is 63410490.
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.
990 x 390 x 715 x 758 x 338 = 70728060546000
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.
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
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
715 : 1, 5, 11, 13, 55, 65, 143, 715
758 : 1, 2, 379, 758
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,390,715,758,338, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
390:2x 3x 5x 13
715:5x 11x 13
758:2x 379
338:2x 13x 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 5x 5x 11x 13x 13 = 1115400
Therefore, the value for common factors is 1115400.
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 = 70728060546000/(1x1115400)
LCM = 70728060546000/1115400
LCM = 63410490
Thus, we can understand that the LCM of 990,390,715,758,338 is 63410490.
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FAQs on LCM of 990, 390, 715, 758, 338
1. What is the LCM of 990, 390, 715, 758, 338?
Answer: LCM of 990, 390, 715, 758, 338 is 63410490.
2. How to calculate the LCM of 990, 390, 715, 758, 338?
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 990, 390, 715, 758, 338.
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}.