LCM of 797, 260, 390, 663, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 260, 390, 663, 374 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 797, 260, 390, 663, 374. So, keep reading to learn more.
Given numbers are 797,260,390,663,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,260,390,663,374 is 116250420.
Find LCM of 797,260,390,663,374 with Prime Factorization
| 2 | 797, 260, 390, 663, 374 |
| 3 | 797, 130, 195, 663, 187 |
| 5 | 797, 130, 65, 221, 187 |
| 13 | 797, 26, 13, 221, 187 |
| 17 | 797, 2, 1, 17, 187 |
| 797, 2, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 797 x 2 x 1 x 1 x 11 = 116250420
Therefore, the lowest common multiple of 797,260,390,663,374 is 116250420.
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.
797 x 260 x 390 x 663 x 374 = 20039247399600
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.
797 : 1, 797
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
663 : 1, 3, 13, 17, 39, 51, 221, 663
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,260,390,663,374, is 1.
Now, the common factors can be found like this.
797:797
260:2x 2x 5x 13
390:2x 3x 5x 13
663:3x 13x 17
374:2x 11x 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 3x 5x 13x 13x 17 = 172380
Therefore, the value for common factors is 172380.
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 = 20039247399600/(1x172380)
LCM = 20039247399600/172380
LCM = 116250420
Thus, we can understand that the LCM of 797,260,390,663,374 is 116250420.
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FAQs on LCM of 797, 260, 390, 663, 374
1. What is the LCM of 797, 260, 390, 663, 374?
Answer: LCM of 797, 260, 390, 663, 374 is 116250420.
2. How to calculate the LCM of 797, 260, 390, 663, 374?
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 797, 260, 390, 663, 374.
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}.