LCM of 232, 493, 315, 297, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 493, 315, 297, 629 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 232, 493, 315, 297, 629. So, keep reading to learn more.
Given numbers are 232,493,315,297,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,493,315,297,629 is 1516921560.
Find LCM of 232,493,315,297,629 with Prime Factorization
| 3 | 232, 493, 315, 297, 629 |
| 3 | 232, 493, 105, 99, 629 |
| 17 | 232, 493, 35, 33, 629 |
| 29 | 232, 29, 35, 33, 37 |
| 8, 1, 35, 33, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 29 x 8 x 1 x 35 x 33 x 37 = 1516921560
Therefore, the lowest common multiple of 232,493,315,297,629 is 1516921560.
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.
232 x 493 x 315 x 297 x 629 = 6730580961720
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
493 : 1, 17, 29, 493
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
297 : 1, 3, 9, 11, 27, 33, 99, 297
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,493,315,297,629, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
493:17x 29
315:3x 3x 5x 7
297:3x 3x 3x 11
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 29 = 4437
Therefore, the value for common factors is 4437.
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 = 6730580961720/(1x4437)
LCM = 6730580961720/4437
LCM = 1516921560
Thus, we can understand that the LCM of 232,493,315,297,629 is 1516921560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 232, 493, 315, 297, 629
1. What is the LCM of 232, 493, 315, 297, 629?
Answer: LCM of 232, 493, 315, 297, 629 is 1516921560.
2. How to calculate the LCM of 232, 493, 315, 297, 629?
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 232, 493, 315, 297, 629.
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}.