LCM of 799, 668, 658, 608, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 668, 658, 608, 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 799, 668, 658, 608, 339. So, keep reading to learn more.
Given numbers are 799,668,658,608,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,668,658,608,339 is 192514997472.
Find LCM of 799,668,658,608,339 with Prime Factorization
| 2 | 799, 668, 658, 608, 339 |
| 2 | 799, 334, 329, 304, 339 |
| 47 | 799, 167, 329, 152, 339 |
| 17, 167, 7, 152, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 17 x 167 x 7 x 152 x 339 = 192514997472
Therefore, the lowest common multiple of 799,668,658,608,339 is 192514997472.
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.
799 x 668 x 658 x 608 x 339 = 72385639049472
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.
799 : 1, 17, 47, 799
668 : 1, 2, 4, 167, 334, 668
658 : 1, 2, 7, 14, 47, 94, 329, 658
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,668,658,608,339, is 1.
Now, the common factors can be found like this.
799:17x 47
668:2x 2x 167
658:2x 7x 47
608:2x 2x 2x 2x 2x 19
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 47 = 376
Therefore, the value for common factors is 376.
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 = 72385639049472/(1x376)
LCM = 72385639049472/376
LCM = 192514997472
Thus, we can understand that the LCM of 799,668,658,608,339 is 192514997472.
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FAQs on LCM of 799, 668, 658, 608, 339
1. What is the LCM of 799, 668, 658, 608, 339?
Answer: LCM of 799, 668, 658, 608, 339 is 192514997472.
2. How to calculate the LCM of 799, 668, 658, 608, 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 799, 668, 658, 608, 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}.