LCM of 812, 964, 200, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 964, 200, 385 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 812, 964, 200, 385. So, keep reading to learn more.
Given numbers are 812,964,200,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,964,200,385 is 107630600.
Find LCM of 812,964,200,385 with Prime Factorization
| 2 | 812, 964, 200, 385 |
| 2 | 406, 482, 100, 385 |
| 5 | 203, 241, 50, 385 |
| 7 | 203, 241, 10, 77 |
| 29, 241, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 29 x 241 x 10 x 11 = 107630600
Therefore, the lowest common multiple of 812,964,200,385 is 107630600.
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.
812 x 964 x 200 x 385 = 60273136000
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
964 : 1, 2, 4, 241, 482, 964
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,964,200,385, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
964:2x 2x 241
200:2x 2x 2x 5x 5
385:5x 7x 11
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 60273136000/(1x560)
LCM = 60273136000/560
LCM = 107630600
Thus, we can understand that the LCM of 812,964,200,385 is 107630600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 812, 964, 200, 385
1. What is the LCM of 812, 964, 200, 385?
Answer: LCM of 812, 964, 200, 385 is 107630600.
2. How to calculate the LCM of 812, 964, 200, 385?
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 812, 964, 200, 385.
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}.