LCM of 959, 127, 523, 312, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 127, 523, 312, 819 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 959, 127, 523, 312, 819. So, keep reading to learn more.
Given numbers are 959,127,523,312,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,127,523,312,819 is 59621083704.
Find LCM of 959,127,523,312,819 with Prime Factorization
| 3 | 959, 127, 523, 312, 819 |
| 7 | 959, 127, 523, 104, 273 |
| 13 | 137, 127, 523, 104, 39 |
| 137, 127, 523, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 137 x 127 x 523 x 8 x 3 = 59621083704
Therefore, the lowest common multiple of 959,127,523,312,819 is 59621083704.
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.
959 x 127 x 523 x 312 x 819 = 16276555851192
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.
959 : 1, 7, 137, 959
127 : 1, 127
523 : 1, 523
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,127,523,312,819, is 1.
Now, the common factors can be found like this.
959:7x 137
127:127
523:523
312:2x 2x 2x 3x 13
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13 = 273
Therefore, the value for common factors is 273.
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 = 16276555851192/(1x273)
LCM = 16276555851192/273
LCM = 59621083704
Thus, we can understand that the LCM of 959,127,523,312,819 is 59621083704.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 959, 127, 523, 312, 819
1. What is the LCM of 959, 127, 523, 312, 819?
Answer: LCM of 959, 127, 523, 312, 819 is 59621083704.
2. How to calculate the LCM of 959, 127, 523, 312, 819?
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 959, 127, 523, 312, 819.
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}.