LCM of 915, 819, 378, 409, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 915, 819, 378, 409, 921 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 915, 819, 378, 409, 921. So, keep reading to learn more.
Given numbers are 915,819,378,409,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,819,378,409,921 is 188190057510.
Find LCM of 915,819,378,409,921 with Prime Factorization
| 3 | 915, 819, 378, 409, 921 |
| 3 | 305, 273, 126, 409, 307 |
| 7 | 305, 91, 42, 409, 307 |
| 305, 13, 6, 409, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 305 x 13 x 6 x 409 x 307 = 188190057510
Therefore, the lowest common multiple of 915,819,378,409,921 is 188190057510.
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.
915 x 819 x 378 x 409 x 921 = 106703762608170
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
409 : 1, 409
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,819,378,409,921, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
819:3x 3x 7x 13
378:2x 3x 3x 3x 7
409:409
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7 = 567
Therefore, the value for common factors is 567.
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 = 106703762608170/(1x567)
LCM = 106703762608170/567
LCM = 188190057510
Thus, we can understand that the LCM of 915,819,378,409,921 is 188190057510.
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FAQs on LCM of 915, 819, 378, 409, 921
1. What is the LCM of 915, 819, 378, 409, 921?
Answer: LCM of 915, 819, 378, 409, 921 is 188190057510.
2. How to calculate the LCM of 915, 819, 378, 409, 921?
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 915, 819, 378, 409, 921.
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}.