LCM of 127, 990, 218, 615, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 990, 218, 615, 327 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 127, 990, 218, 615, 327. So, keep reading to learn more.
Given numbers are 127,990,218,615,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,990,218,615,327 is 561887370.
Find LCM of 127,990,218,615,327 with Prime Factorization
| 2 | 127, 990, 218, 615, 327 |
| 3 | 127, 495, 109, 615, 327 |
| 5 | 127, 165, 109, 205, 109 |
| 109 | 127, 33, 109, 41, 109 |
| 127, 33, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 127 x 33 x 1 x 41 x 1 = 561887370
Therefore, the lowest common multiple of 127,990,218,615,327 is 561887370.
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.
127 x 990 x 218 x 615 x 327 = 5512115099700
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.
127 : 1, 127
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
218 : 1, 2, 109, 218
615 : 1, 3, 5, 15, 41, 123, 205, 615
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,990,218,615,327, is 1.
Now, the common factors can be found like this.
127:127
990:2x 3x 3x 5x 11
218:2x 109
615:3x 5x 41
327:3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 109 = 9810
Therefore, the value for common factors is 9810.
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 = 5512115099700/(1x9810)
LCM = 5512115099700/9810
LCM = 561887370
Thus, we can understand that the LCM of 127,990,218,615,327 is 561887370.
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FAQs on LCM of 127, 990, 218, 615, 327
1. What is the LCM of 127, 990, 218, 615, 327?
Answer: LCM of 127, 990, 218, 615, 327 is 561887370.
2. How to calculate the LCM of 127, 990, 218, 615, 327?
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 127, 990, 218, 615, 327.
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}.