LCM of 661, 720, 840, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 720, 840, 415 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 661, 720, 840, 415. So, keep reading to learn more.
Given numbers are 661,720,840,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,720,840,415 is 276509520.
Find LCM of 661,720,840,415 with Prime Factorization
| 2 | 661, 720, 840, 415 |
| 2 | 661, 360, 420, 415 |
| 2 | 661, 180, 210, 415 |
| 3 | 661, 90, 105, 415 |
| 5 | 661, 30, 35, 415 |
| 661, 6, 7, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 661 x 6 x 7 x 83 = 276509520
Therefore, the lowest common multiple of 661,720,840,415 is 276509520.
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.
661 x 720 x 840 x 415 = 165905712000
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.
661 : 1, 661
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,720,840,415, is 1.
Now, the common factors can be found like this.
661:661
720:2x 2x 2x 2x 3x 3x 5
840:2x 2x 2x 3x 5x 7
415:5x 83
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 165905712000/(1x600)
LCM = 165905712000/600
LCM = 276509520
Thus, we can understand that the LCM of 661,720,840,415 is 276509520.
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FAQs on LCM of 661, 720, 840, 415
1. What is the LCM of 661, 720, 840, 415?
Answer: LCM of 661, 720, 840, 415 is 276509520.
2. How to calculate the LCM of 661, 720, 840, 415?
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 661, 720, 840, 415.
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}.