LCM of 232, 204, 424, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 204, 424, 319 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 232, 204, 424, 319. So, keep reading to learn more.
Given numbers are 232,204,424,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,204,424,319 is 6898056.
Find LCM of 232,204,424,319 with Prime Factorization
| 2 | 232, 204, 424, 319 |
| 2 | 116, 102, 212, 319 |
| 2 | 58, 51, 106, 319 |
| 29 | 29, 51, 53, 319 |
| 1, 51, 53, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 1 x 51 x 53 x 11 = 6898056
Therefore, the lowest common multiple of 232,204,424,319 is 6898056.
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.
232 x 204 x 424 x 319 = 6401395968
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
424 : 1, 2, 4, 8, 53, 106, 212, 424
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,204,424,319, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
204:2x 2x 3x 17
424:2x 2x 2x 53
319:11x 29
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 29 = 928
Therefore, the value for common factors is 928.
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 = 6401395968/(1x928)
LCM = 6401395968/928
LCM = 6898056
Thus, we can understand that the LCM of 232,204,424,319 is 6898056.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 232, 204, 424, 319
1. What is the LCM of 232, 204, 424, 319?
Answer: LCM of 232, 204, 424, 319 is 6898056.
2. How to calculate the LCM of 232, 204, 424, 319?
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 232, 204, 424, 319.
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}.