LCM of 959, 315, 295, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 315, 295, 339 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, 315, 295, 339. So, keep reading to learn more.
Given numbers are 959,315,295,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,315,295,339 is 287714385.
Find LCM of 959,315,295,339 with Prime Factorization
| 3 | 959, 315, 295, 339 |
| 5 | 959, 105, 295, 113 |
| 7 | 959, 21, 59, 113 |
| 137, 3, 59, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 137 x 3 x 59 x 113 = 287714385
Therefore, the lowest common multiple of 959,315,295,339 is 287714385.
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 315 x 295 x 339 = 30210010425
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
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
295 : 1, 5, 59, 295
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,315,295,339, is 1.
Now, the common factors can be found like this.
959:7x 137
315:3x 3x 5x 7
295:5x 59
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 30210010425/(1x105)
LCM = 30210010425/105
LCM = 287714385
Thus, we can understand that the LCM of 959,315,295,339 is 287714385.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 959, 315, 295, 339
1. What is the LCM of 959, 315, 295, 339?
Answer: LCM of 959, 315, 295, 339 is 287714385.
2. How to calculate the LCM of 959, 315, 295, 339?
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, 315, 295, 339.
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}.