LCM of 138, 388, 864, 921, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 388, 864, 921, 915 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 138, 388, 864, 921, 915. So, keep reading to learn more.
Given numbers are 138,388,864,921,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,388,864,921,915 is 180489327840.
Find LCM of 138,388,864,921,915 with Prime Factorization
| 2 | 138, 388, 864, 921, 915 |
| 2 | 69, 194, 432, 921, 915 |
| 3 | 69, 97, 216, 921, 915 |
| 23, 97, 72, 307, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 97 x 72 x 307 x 305 = 180489327840
Therefore, the lowest common multiple of 138,388,864,921,915 is 180489327840.
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.
138 x 388 x 864 x 921 x 915 = 38985694813440
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
388 : 1, 2, 4, 97, 194, 388
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
921 : 1, 3, 307, 921
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,388,864,921,915, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
388:2x 2x 97
864:2x 2x 2x 2x 2x 3x 3x 3
921:3x 307
915:3x 5x 61
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 3 = 216
Therefore, the value for common factors is 216.
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 = 38985694813440/(1x216)
LCM = 38985694813440/216
LCM = 180489327840
Thus, we can understand that the LCM of 138,388,864,921,915 is 180489327840.
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FAQs on LCM of 138, 388, 864, 921, 915
1. What is the LCM of 138, 388, 864, 921, 915?
Answer: LCM of 138, 388, 864, 921, 915 is 180489327840.
2. How to calculate the LCM of 138, 388, 864, 921, 915?
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 138, 388, 864, 921, 915.
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}.