LCM of 346, 452, 775, 720, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 452, 775, 720, 559 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 346, 452, 775, 720, 559. So, keep reading to learn more.
Given numbers are 346,452,775,720,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,452,775,720,559 is 1219552635600.
Find LCM of 346,452,775,720,559 with Prime Factorization
| 2 | 346, 452, 775, 720, 559 |
| 2 | 173, 226, 775, 360, 559 |
| 5 | 173, 113, 775, 180, 559 |
| 173, 113, 155, 36, 559 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 173 x 113 x 155 x 36 x 559 = 1219552635600
Therefore, the lowest common multiple of 346,452,775,720,559 is 1219552635600.
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.
346 x 452 x 775 x 720 x 559 = 48782105424000
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.
346 : 1, 2, 173, 346
452 : 1, 2, 4, 113, 226, 452
775 : 1, 5, 25, 31, 155, 775
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,452,775,720,559, is 1.
Now, the common factors can be found like this.
346:2x 173
452:2x 2x 113
775:5x 5x 31
720:2x 2x 2x 2x 3x 3x 5
559:13x 43
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 5 = 40
Therefore, the value for common factors is 40.
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 = 48782105424000/(1x40)
LCM = 48782105424000/40
LCM = 1219552635600
Thus, we can understand that the LCM of 346,452,775,720,559 is 1219552635600.
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FAQs on LCM of 346, 452, 775, 720, 559
1. What is the LCM of 346, 452, 775, 720, 559?
Answer: LCM of 346, 452, 775, 720, 559 is 1219552635600.
2. How to calculate the LCM of 346, 452, 775, 720, 559?
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 346, 452, 775, 720, 559.
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}.