LCM of 415, 729, 420, 150, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 729, 420, 150, 635 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 415, 729, 420, 150, 635. So, keep reading to learn more.
Given numbers are 415,729,420,150,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,729,420,150,635 is 5379072300.
Find LCM of 415,729,420,150,635 with Prime Factorization
| 2 | 415, 729, 420, 150, 635 |
| 3 | 415, 729, 210, 75, 635 |
| 5 | 415, 243, 70, 25, 635 |
| 83, 243, 14, 5, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 243 x 14 x 5 x 127 = 5379072300
Therefore, the lowest common multiple of 415,729,420,150,635 is 5379072300.
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.
415 x 729 x 420 x 150 x 635 = 12102912675000
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.
415 : 1, 5, 83, 415
729 : 1, 3, 9, 27, 81, 243, 729
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,729,420,150,635, is 1.
Now, the common factors can be found like this.
415:5x 83
729:3x 3x 3x 3x 3x 3
420:2x 2x 3x 5x 7
150:2x 3x 5x 5
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 5 = 2250
Therefore, the value for common factors is 2250.
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 = 12102912675000/(1x2250)
LCM = 12102912675000/2250
LCM = 5379072300
Thus, we can understand that the LCM of 415,729,420,150,635 is 5379072300.
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FAQs on LCM of 415, 729, 420, 150, 635
1. What is the LCM of 415, 729, 420, 150, 635?
Answer: LCM of 415, 729, 420, 150, 635 is 5379072300.
2. How to calculate the LCM of 415, 729, 420, 150, 635?
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 415, 729, 420, 150, 635.
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}.