LCM of 996, 560, 560, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 560, 560, 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 996, 560, 560, 339. So, keep reading to learn more.
Given numbers are 996,560,560,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,560,560,339 is 15756720.
Find LCM of 996,560,560,339 with Prime Factorization
| 2 | 996, 560, 560, 339 |
| 2 | 498, 280, 280, 339 |
| 2 | 249, 140, 140, 339 |
| 2 | 249, 70, 70, 339 |
| 3 | 249, 35, 35, 339 |
| 5 | 83, 35, 35, 113 |
| 7 | 83, 7, 7, 113 |
| 83, 1, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 83 x 1 x 1 x 113 = 15756720
Therefore, the lowest common multiple of 996,560,560,339 is 15756720.
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.
996 x 560 x 560 x 339 = 105885158400
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,560,560,339, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
560:2x 2x 2x 2x 5x 7
560:2x 2x 2x 2x 5x 7
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.
2x 2x 2x 2x 2x 2x 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 105885158400/(1x6720)
LCM = 105885158400/6720
LCM = 15756720
Thus, we can understand that the LCM of 996,560,560,339 is 15756720.
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FAQs on LCM of 996, 560, 560, 339
1. What is the LCM of 996, 560, 560, 339?
Answer: LCM of 996, 560, 560, 339 is 15756720.
2. How to calculate the LCM of 996, 560, 560, 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 996, 560, 560, 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}.