LCM of 799, 798, 532, 988, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 798, 532, 988, 520 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, 798, 532, 988, 520. So, keep reading to learn more.
Given numbers are 799,798,532,988,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,798,532,988,520 is 165776520.
Find LCM of 799,798,532,988,520 with Prime Factorization
| 2 | 799, 798, 532, 988, 520 |
| 2 | 799, 399, 266, 494, 260 |
| 7 | 799, 399, 133, 247, 130 |
| 13 | 799, 57, 19, 247, 130 |
| 19 | 799, 57, 19, 19, 10 |
| 799, 3, 1, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 19 x 799 x 3 x 1 x 1 x 10 = 165776520
Therefore, the lowest common multiple of 799,798,532,988,520 is 165776520.
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 798 x 532 x 988 x 520 = 174269582672640
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,798,532,988,520, is 1.
Now, the common factors can be found like this.
799:17x 47
798:2x 3x 7x 19
532:2x 2x 7x 19
988:2x 2x 13x 19
520:2x 2x 2x 5x 13
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 7x 13x 19x 19 = 1051232
Therefore, the value for common factors is 1051232.
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 = 174269582672640/(1x1051232)
LCM = 174269582672640/1051232
LCM = 165776520
Thus, we can understand that the LCM of 799,798,532,988,520 is 165776520.
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FAQs on LCM of 799, 798, 532, 988, 520
1. What is the LCM of 799, 798, 532, 988, 520?
Answer: LCM of 799, 798, 532, 988, 520 is 165776520.
2. How to calculate the LCM of 799, 798, 532, 988, 520?
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, 798, 532, 988, 520.
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}.