LCM of 558, 713, 872, 436, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 713, 872, 436, 183 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 558, 713, 872, 436, 183. So, keep reading to learn more.
Given numbers are 558,713,872,436,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,713,872,436,183 is 341333064.
Find LCM of 558,713,872,436,183 with Prime Factorization
| 2 | 558, 713, 872, 436, 183 |
| 2 | 279, 713, 436, 218, 183 |
| 3 | 279, 713, 109, 218, 183 |
| 31 | 93, 713, 109, 218, 61 |
| 109 | 3, 23, 109, 218, 61 |
| 3, 23, 1, 2, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 109 x 3 x 23 x 1 x 2 x 61 = 341333064
Therefore, the lowest common multiple of 558,713,872,436,183 is 341333064.
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.
558 x 713 x 872 x 436 x 183 = 27680746158144
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
713 : 1, 23, 31, 713
872 : 1, 2, 4, 8, 109, 218, 436, 872
436 : 1, 2, 4, 109, 218, 436
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,713,872,436,183, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
713:23x 31
872:2x 2x 2x 109
436:2x 2x 109
183:3x 61
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 3x 31x 109 = 81096
Therefore, the value for common factors is 81096.
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 = 27680746158144/(1x81096)
LCM = 27680746158144/81096
LCM = 341333064
Thus, we can understand that the LCM of 558,713,872,436,183 is 341333064.
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FAQs on LCM of 558, 713, 872, 436, 183
1. What is the LCM of 558, 713, 872, 436, 183?
Answer: LCM of 558, 713, 872, 436, 183 is 341333064.
2. How to calculate the LCM of 558, 713, 872, 436, 183?
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 558, 713, 872, 436, 183.
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}.