LCM of 377, 405, 450, 420, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 405, 450, 420, 963 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 377, 405, 450, 420, 963. So, keep reading to learn more.
Given numbers are 377,405,450,420,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,405,450,420,963 is 2287221300.
Find LCM of 377,405,450,420,963 with Prime Factorization
| 2 | 377, 405, 450, 420, 963 |
| 3 | 377, 405, 225, 210, 963 |
| 3 | 377, 135, 75, 70, 321 |
| 5 | 377, 45, 25, 70, 107 |
| 377, 9, 5, 14, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 377 x 9 x 5 x 14 x 107 = 2287221300
Therefore, the lowest common multiple of 377,405,450,420,963 is 2287221300.
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.
377 x 405 x 450 x 420 x 963 = 27789738795000
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.
377 : 1, 13, 29, 377
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,405,450,420,963, is 1.
Now, the common factors can be found like this.
377:13x 29
405:3x 3x 3x 3x 5
450:2x 3x 3x 5x 5
420:2x 2x 3x 5x 7
963:3x 3x 107
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 3x 3x 3x 5x 5 = 12150
Therefore, the value for common factors is 12150.
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 = 27789738795000/(1x12150)
LCM = 27789738795000/12150
LCM = 2287221300
Thus, we can understand that the LCM of 377,405,450,420,963 is 2287221300.
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FAQs on LCM of 377, 405, 450, 420, 963
1. What is the LCM of 377, 405, 450, 420, 963?
Answer: LCM of 377, 405, 450, 420, 963 is 2287221300.
2. How to calculate the LCM of 377, 405, 450, 420, 963?
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 377, 405, 450, 420, 963.
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}.