LCM of 203, 384, 385, 392, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 384, 385, 392, 917 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 203, 384, 385, 392, 917. So, keep reading to learn more.
Given numbers are 203,384,385,392,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,384,385,392,917 is 3931509120.
Find LCM of 203,384,385,392,917 with Prime Factorization
| 2 | 203, 384, 385, 392, 917 |
| 2 | 203, 192, 385, 196, 917 |
| 2 | 203, 96, 385, 98, 917 |
| 7 | 203, 48, 385, 49, 917 |
| 29, 48, 55, 7, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 29 x 48 x 55 x 7 x 131 = 3931509120
Therefore, the lowest common multiple of 203,384,385,392,917 is 3931509120.
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.
203 x 384 x 385 x 392 x 917 = 10788061025280
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.
203 : 1, 7, 29, 203
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
385 : 1, 5, 7, 11, 35, 55, 77, 385
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,384,385,392,917, is 1.
Now, the common factors can be found like this.
203:7x 29
384:2x 2x 2x 2x 2x 2x 2x 3
385:5x 7x 11
392:2x 2x 2x 7x 7
917:7x 131
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 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 10788061025280/(1x2744)
LCM = 10788061025280/2744
LCM = 3931509120
Thus, we can understand that the LCM of 203,384,385,392,917 is 3931509120.
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FAQs on LCM of 203, 384, 385, 392, 917
1. What is the LCM of 203, 384, 385, 392, 917?
Answer: LCM of 203, 384, 385, 392, 917 is 3931509120.
2. How to calculate the LCM of 203, 384, 385, 392, 917?
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 203, 384, 385, 392, 917.
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}.