LCM of 557, 522, 559, 340, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 522, 559, 340, 232 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 557, 522, 559, 340, 232. So, keep reading to learn more.
Given numbers are 557,522,559,340,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,522,559,340,232 is 55260705240.
Find LCM of 557,522,559,340,232 with Prime Factorization
| 2 | 557, 522, 559, 340, 232 |
| 2 | 557, 261, 559, 170, 116 |
| 29 | 557, 261, 559, 85, 58 |
| 557, 9, 559, 85, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 557 x 9 x 559 x 85 x 2 = 55260705240
Therefore, the lowest common multiple of 557,522,559,340,232 is 55260705240.
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.
557 x 522 x 559 x 340 x 232 = 12820483615680
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.
557 : 1, 557
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
559 : 1, 13, 43, 559
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,522,559,340,232, is 1.
Now, the common factors can be found like this.
557:557
522:2x 3x 3x 29
559:13x 43
340:2x 2x 5x 17
232:2x 2x 2x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 12820483615680/(1x232)
LCM = 12820483615680/232
LCM = 55260705240
Thus, we can understand that the LCM of 557,522,559,340,232 is 55260705240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 522, 559, 340, 232
1. What is the LCM of 557, 522, 559, 340, 232?
Answer: LCM of 557, 522, 559, 340, 232 is 55260705240.
2. How to calculate the LCM of 557, 522, 559, 340, 232?
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 557, 522, 559, 340, 232.
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}.