LCM of 174, 218, 684, 190, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 218, 684, 190, 522 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 174, 218, 684, 190, 522. So, keep reading to learn more.
Given numbers are 174,218,684,190,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,218,684,190,522 is 10810620.
Find LCM of 174,218,684,190,522 with Prime Factorization
| 2 | 174, 218, 684, 190, 522 |
| 3 | 87, 109, 342, 95, 261 |
| 3 | 29, 109, 114, 95, 87 |
| 19 | 29, 109, 38, 95, 29 |
| 29 | 29, 109, 2, 5, 29 |
| 1, 109, 2, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 29 x 1 x 109 x 2 x 5 x 1 = 10810620
Therefore, the lowest common multiple of 174,218,684,190,522 is 10810620.
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.
174 x 218 x 684 x 190 x 522 = 2573273499840
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
218 : 1, 2, 109, 218
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
190 : 1, 2, 5, 10, 19, 38, 95, 190
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,218,684,190,522, is 2.
Now, the common factors can be found like this.
174:2x 3x 29
218:2x 109
684:2x 2x 3x 3x 19
190:2x 5x 19
522:2x 3x 3x 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 3x 3x 3x 19x 29 = 119016
Therefore, the value for common factors is 119016.
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 = 2573273499840/(2x119016)
LCM = 2573273499840/238032
LCM = 10810620
Thus, we can understand that the LCM of 174,218,684,190,522 is 10810620.
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FAQs on LCM of 174, 218, 684, 190, 522
1. What is the LCM of 174, 218, 684, 190, 522?
Answer: LCM of 174, 218, 684, 190, 522 is 10810620.
2. How to calculate the LCM of 174, 218, 684, 190, 522?
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 174, 218, 684, 190, 522.
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}.