LCM of 799, 884, 517, 359, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 884, 517, 359, 648 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, 884, 517, 359, 648. So, keep reading to learn more.
Given numbers are 799,884,517,359,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,884,517,359,648 is 26579834424.
Find LCM of 799,884,517,359,648 with Prime Factorization
| 2 | 799, 884, 517, 359, 648 |
| 2 | 799, 442, 517, 359, 324 |
| 17 | 799, 221, 517, 359, 162 |
| 47 | 47, 13, 517, 359, 162 |
| 1, 13, 11, 359, 162 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 47 x 1 x 13 x 11 x 359 x 162 = 26579834424
Therefore, the lowest common multiple of 799,884,517,359,648 is 26579834424.
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 884 x 517 x 359 x 648 = 84949150819104
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
517 : 1, 11, 47, 517
359 : 1, 359
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,884,517,359,648, is 1.
Now, the common factors can be found like this.
799:17x 47
884:2x 2x 13x 17
517:11x 47
359:359
648:2x 2x 2x 3x 3x 3x 3
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 17x 47 = 3196
Therefore, the value for common factors is 3196.
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 = 84949150819104/(1x3196)
LCM = 84949150819104/3196
LCM = 26579834424
Thus, we can understand that the LCM of 799,884,517,359,648 is 26579834424.
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FAQs on LCM of 799, 884, 517, 359, 648
1. What is the LCM of 799, 884, 517, 359, 648?
Answer: LCM of 799, 884, 517, 359, 648 is 26579834424.
2. How to calculate the LCM of 799, 884, 517, 359, 648?
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, 884, 517, 359, 648.
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}.