LCM of 629, 420, 629, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 420, 629, 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 629, 420, 629, 963. So, keep reading to learn more.
Given numbers are 629,420,629,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,420,629,963 is 84801780.
Find LCM of 629,420,629,963 with Prime Factorization
| 3 | 629, 420, 629, 963 |
| 17 | 629, 140, 629, 321 |
| 37 | 37, 140, 37, 321 |
| 1, 140, 1, 321 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 37 x 1 x 140 x 1 x 321 = 84801780
Therefore, the lowest common multiple of 629,420,629,963 is 84801780.
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.
629 x 420 x 629 x 963 = 160020958860
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.
629 : 1, 17, 37, 629
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
629 : 1, 17, 37, 629
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 629,420,629,963, is 1.
Now, the common factors can be found like this.
629:17x 37
420:2x 2x 3x 5x 7
629:17x 37
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.
3x 17x 37 = 1887
Therefore, the value for common factors is 1887.
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 = 160020958860/(1x1887)
LCM = 160020958860/1887
LCM = 84801780
Thus, we can understand that the LCM of 629,420,629,963 is 84801780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 629, 420, 629, 963
1. What is the LCM of 629, 420, 629, 963?
Answer: LCM of 629, 420, 629, 963 is 84801780.
2. How to calculate the LCM of 629, 420, 629, 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 629, 420, 629, 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}.