LCM of 963, 914, 914, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 914, 914, 600 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, 914, 914, 600. So, keep reading to learn more.
Given numbers are 963,914,914,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,914,914,600 is 88018200.
Find LCM of 963,914,914,600 with Prime Factorization
| 2 | 963, 914, 914, 600 |
| 3 | 963, 457, 457, 300 |
| 457 | 321, 457, 457, 100 |
| 321, 1, 1, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 457 x 321 x 1 x 1 x 100 = 88018200
Therefore, the lowest common multiple of 963,914,914,600 is 88018200.
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 914 x 914 x 600 = 482691808800
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
914 : 1, 2, 457, 914
914 : 1, 2, 457, 914
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,914,914,600, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
914:2x 457
914:2x 457
600:2x 2x 2x 3x 5x 5
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 3x 457 = 5484
Therefore, the value for common factors is 5484.
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 = 482691808800/(1x5484)
LCM = 482691808800/5484
LCM = 88018200
Thus, we can understand that the LCM of 963,914,914,600 is 88018200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 914, 914, 600
1. What is the LCM of 963, 914, 914, 600?
Answer: LCM of 963, 914, 914, 600 is 88018200.
2. How to calculate the LCM of 963, 914, 914, 600?
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, 914, 914, 600.
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}.