LCM of 962, 244, 876, 366, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 244, 876, 366, 390 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 962, 244, 876, 366, 390. So, keep reading to learn more.
Given numbers are 962,244,876,366,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,244,876,366,390 is 128513580.
Find LCM of 962,244,876,366,390 with Prime Factorization
| 2 | 962, 244, 876, 366, 390 |
| 2 | 481, 122, 438, 183, 195 |
| 3 | 481, 61, 219, 183, 195 |
| 13 | 481, 61, 73, 61, 65 |
| 61 | 37, 61, 73, 61, 5 |
| 37, 1, 73, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 61 x 37 x 1 x 73 x 1 x 5 = 128513580
Therefore, the lowest common multiple of 962,244,876,366,390 is 128513580.
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.
962 x 244 x 876 x 366 x 390 = 29350445454720
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
244 : 1, 2, 4, 61, 122, 244
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
366 : 1, 2, 3, 6, 61, 122, 183, 366
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,244,876,366,390, is 2.
Now, the common factors can be found like this.
962:2x 13x 37
244:2x 2x 61
876:2x 2x 3x 73
366:2x 3x 61
390:2x 3x 5x 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 2x 3x 3x 13x 61 = 114192
Therefore, the value for common factors is 114192.
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 = 29350445454720/(2x114192)
LCM = 29350445454720/228384
LCM = 128513580
Thus, we can understand that the LCM of 962,244,876,366,390 is 128513580.
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FAQs on LCM of 962, 244, 876, 366, 390
1. What is the LCM of 962, 244, 876, 366, 390?
Answer: LCM of 962, 244, 876, 366, 390 is 128513580.
2. How to calculate the LCM of 962, 244, 876, 366, 390?
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 962, 244, 876, 366, 390.
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}.