LCM of 963, 405, 717, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 405, 717, 577 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 963, 405, 717, 577. So, keep reading to learn more.
Given numbers are 963,405,717,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,405,717,577 is 5976026505.
Find LCM of 963,405,717,577 with Prime Factorization
| 3 | 963, 405, 717, 577 |
| 3 | 321, 135, 239, 577 |
| 107, 45, 239, 577 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 107 x 45 x 239 x 577 = 5976026505
Therefore, the lowest common multiple of 963,405,717,577 is 5976026505.
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.
963 x 405 x 717 x 577 = 161352715635
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.
963 : 1, 3, 9, 107, 321, 963
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
717 : 1, 3, 239, 717
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,405,717,577, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
405:3x 3x 3x 3x 5
717:3x 239
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 161352715635/(1x27)
LCM = 161352715635/27
LCM = 5976026505
Thus, we can understand that the LCM of 963,405,717,577 is 5976026505.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 405, 717, 577
1. What is the LCM of 963, 405, 717, 577?
Answer: LCM of 963, 405, 717, 577 is 5976026505.
2. How to calculate the LCM of 963, 405, 717, 577?
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 963, 405, 717, 577.
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}.