LCM of 792, 471, 221, 884, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 471, 221, 884, 517 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 792, 471, 221, 884, 517. So, keep reading to learn more.
Given numbers are 792,471,221,884,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,471,221,884,517 is 1291561128.
Find LCM of 792,471,221,884,517 with Prime Factorization
| 2 | 792, 471, 221, 884, 517 |
| 2 | 396, 471, 221, 442, 517 |
| 3 | 198, 471, 221, 221, 517 |
| 11 | 66, 157, 221, 221, 517 |
| 13 | 6, 157, 221, 221, 47 |
| 17 | 6, 157, 17, 17, 47 |
| 6, 157, 1, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 17 x 6 x 157 x 1 x 1 x 47 = 1291561128
Therefore, the lowest common multiple of 792,471,221,884,517 is 1291561128.
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.
792 x 471 x 221 x 884 x 517 = 37677421226016
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
471 : 1, 3, 157, 471
221 : 1, 13, 17, 221
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,471,221,884,517, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
471:3x 157
221:13x 17
884:2x 2x 13x 17
517:11x 47
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 11x 13x 17 = 29172
Therefore, the value for common factors is 29172.
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 = 37677421226016/(1x29172)
LCM = 37677421226016/29172
LCM = 1291561128
Thus, we can understand that the LCM of 792,471,221,884,517 is 1291561128.
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FAQs on LCM of 792, 471, 221, 884, 517
1. What is the LCM of 792, 471, 221, 884, 517?
Answer: LCM of 792, 471, 221, 884, 517 is 1291561128.
2. How to calculate the LCM of 792, 471, 221, 884, 517?
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 792, 471, 221, 884, 517.
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}.