LCM of 689, 252, 471, 296, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 252, 471, 296, 413 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 689, 252, 471, 296, 413. So, keep reading to learn more.
Given numbers are 689,252,471,296,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,252,471,296,413 is 119015396136.
Find LCM of 689,252,471,296,413 with Prime Factorization
| 2 | 689, 252, 471, 296, 413 |
| 2 | 689, 126, 471, 148, 413 |
| 3 | 689, 63, 471, 74, 413 |
| 7 | 689, 21, 157, 74, 413 |
| 689, 3, 157, 74, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 689 x 3 x 157 x 74 x 59 = 119015396136
Therefore, the lowest common multiple of 689,252,471,296,413 is 119015396136.
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.
689 x 252 x 471 x 296 x 413 = 9997293275424
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.
689 : 1, 13, 53, 689
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
471 : 1, 3, 157, 471
296 : 1, 2, 4, 8, 37, 74, 148, 296
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,252,471,296,413, is 1.
Now, the common factors can be found like this.
689:13x 53
252:2x 2x 3x 3x 7
471:3x 157
296:2x 2x 2x 37
413:7x 59
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 7 = 84
Therefore, the value for common factors is 84.
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 = 9997293275424/(1x84)
LCM = 9997293275424/84
LCM = 119015396136
Thus, we can understand that the LCM of 689,252,471,296,413 is 119015396136.
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FAQs on LCM of 689, 252, 471, 296, 413
1. What is the LCM of 689, 252, 471, 296, 413?
Answer: LCM of 689, 252, 471, 296, 413 is 119015396136.
2. How to calculate the LCM of 689, 252, 471, 296, 413?
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 689, 252, 471, 296, 413.
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}.