LCM of 799, 348, 976, 719, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 348, 976, 719, 578 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, 348, 976, 719, 578. So, keep reading to learn more.
Given numbers are 799,348,976,719,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,348,976,719,578 is 829265621424.
Find LCM of 799,348,976,719,578 with Prime Factorization
| 2 | 799, 348, 976, 719, 578 |
| 2 | 799, 174, 488, 719, 289 |
| 17 | 799, 87, 244, 719, 289 |
| 47, 87, 244, 719, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 47 x 87 x 244 x 719 x 17 = 829265621424
Therefore, the lowest common multiple of 799,348,976,719,578 is 829265621424.
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 348 x 976 x 719 x 578 = 112780124513664
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
719 : 1, 719
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,348,976,719,578, is 1.
Now, the common factors can be found like this.
799:17x 47
348:2x 2x 3x 29
976:2x 2x 2x 2x 61
719:719
578:2x 17x 17
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 17 = 136
Therefore, the value for common factors is 136.
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 = 112780124513664/(1x136)
LCM = 112780124513664/136
LCM = 829265621424
Thus, we can understand that the LCM of 799,348,976,719,578 is 829265621424.
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FAQs on LCM of 799, 348, 976, 719, 578
1. What is the LCM of 799, 348, 976, 719, 578?
Answer: LCM of 799, 348, 976, 719, 578 is 829265621424.
2. How to calculate the LCM of 799, 348, 976, 719, 578?
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, 348, 976, 719, 578.
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}.