LCM of 200, 378, 233, 315, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 378, 233, 315, 941 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 200, 378, 233, 315, 941. So, keep reading to learn more.
Given numbers are 200,378,233,315,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,378,233,315,941 is 8287763400.
Find LCM of 200,378,233,315,941 with Prime Factorization
| 2 | 200, 378, 233, 315, 941 |
| 3 | 100, 189, 233, 315, 941 |
| 3 | 100, 63, 233, 105, 941 |
| 5 | 100, 21, 233, 35, 941 |
| 7 | 20, 21, 233, 7, 941 |
| 20, 3, 233, 1, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 20 x 3 x 233 x 1 x 941 = 8287763400
Therefore, the lowest common multiple of 200,378,233,315,941 is 8287763400.
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.
200 x 378 x 233 x 315 x 941 = 5221290942000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
233 : 1, 233
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,378,233,315,941, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
378:2x 3x 3x 3x 7
233:233
315:3x 3x 5x 7
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 5221290942000/(1x630)
LCM = 5221290942000/630
LCM = 8287763400
Thus, we can understand that the LCM of 200,378,233,315,941 is 8287763400.
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FAQs on LCM of 200, 378, 233, 315, 941
1. What is the LCM of 200, 378, 233, 315, 941?
Answer: LCM of 200, 378, 233, 315, 941 is 8287763400.
2. How to calculate the LCM of 200, 378, 233, 315, 941?
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 200, 378, 233, 315, 941.
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}.