LCM of 319, 348, 864, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 348, 864, 531 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 319, 348, 864, 531. So, keep reading to learn more.
Given numbers are 319,348,864,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,348,864,531 is 16261344.
Find LCM of 319,348,864,531 with Prime Factorization
| 2 | 319, 348, 864, 531 |
| 2 | 319, 174, 432, 531 |
| 3 | 319, 87, 216, 531 |
| 3 | 319, 29, 72, 177 |
| 29 | 319, 29, 24, 59 |
| 11, 1, 24, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 11 x 1 x 24 x 59 = 16261344
Therefore, the lowest common multiple of 319,348,864,531 is 16261344.
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.
319 x 348 x 864 x 531 = 50930529408
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.
319 : 1, 11, 29, 319
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,348,864,531, is 1.
Now, the common factors can be found like this.
319:11x 29
348:2x 2x 3x 29
864:2x 2x 2x 2x 2x 3x 3x 3
531:3x 3x 59
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 3x 3x 3x 29 = 3132
Therefore, the value for common factors is 3132.
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 = 50930529408/(1x3132)
LCM = 50930529408/3132
LCM = 16261344
Thus, we can understand that the LCM of 319,348,864,531 is 16261344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 348, 864, 531
1. What is the LCM of 319, 348, 864, 531?
Answer: LCM of 319, 348, 864, 531 is 16261344.
2. How to calculate the LCM of 319, 348, 864, 531?
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 319, 348, 864, 531.
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}.