LCM of 966, 784, 964, 595, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 784, 964, 595, 200 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 966, 784, 964, 595, 200. So, keep reading to learn more.
Given numbers are 966,784,964,595,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,784,964,595,200 is 5540782800.
Find LCM of 966,784,964,595,200 with Prime Factorization
| 2 | 966, 784, 964, 595, 200 |
| 2 | 483, 392, 482, 595, 100 |
| 2 | 483, 196, 241, 595, 50 |
| 5 | 483, 98, 241, 595, 25 |
| 7 | 483, 98, 241, 119, 5 |
| 69, 14, 241, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 69 x 14 x 241 x 17 x 5 = 5540782800
Therefore, the lowest common multiple of 966,784,964,595,200 is 5540782800.
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.
966 x 784 x 964 x 595 x 200 = 86879474304000
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
964 : 1, 2, 4, 241, 482, 964
595 : 1, 5, 7, 17, 35, 85, 119, 595
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,784,964,595,200, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
784:2x 2x 2x 2x 7x 7
964:2x 2x 241
595:5x 7x 17
200:2x 2x 2x 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 2x 2x 2x 2x 5x 7x 7 = 15680
Therefore, the value for common factors is 15680.
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 = 86879474304000/(1x15680)
LCM = 86879474304000/15680
LCM = 5540782800
Thus, we can understand that the LCM of 966,784,964,595,200 is 5540782800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 784, 964, 595, 200
1. What is the LCM of 966, 784, 964, 595, 200?
Answer: LCM of 966, 784, 964, 595, 200 is 5540782800.
2. How to calculate the LCM of 966, 784, 964, 595, 200?
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 966, 784, 964, 595, 200.
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}.