LCM of 828, 164, 328, 441, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 164, 328, 441, 514 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 828, 164, 328, 441, 514. So, keep reading to learn more.
Given numbers are 828,164,328,441,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,164,328,441,514 is 855014328.
Find LCM of 828,164,328,441,514 with Prime Factorization
| 2 | 828, 164, 328, 441, 514 |
| 2 | 414, 82, 164, 441, 257 |
| 3 | 207, 41, 82, 441, 257 |
| 3 | 69, 41, 82, 147, 257 |
| 41 | 23, 41, 82, 49, 257 |
| 23, 1, 2, 49, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 41 x 23 x 1 x 2 x 49 x 257 = 855014328
Therefore, the lowest common multiple of 828,164,328,441,514 is 855014328.
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.
828 x 164 x 328 x 441 x 514 = 10096009185024
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
164 : 1, 2, 4, 41, 82, 164
328 : 1, 2, 4, 8, 41, 82, 164, 328
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,164,328,441,514, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
164:2x 2x 41
328:2x 2x 2x 41
441:3x 3x 7x 7
514:2x 257
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 3x 3x 41 = 11808
Therefore, the value for common factors is 11808.
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 = 10096009185024/(1x11808)
LCM = 10096009185024/11808
LCM = 855014328
Thus, we can understand that the LCM of 828,164,328,441,514 is 855014328.
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FAQs on LCM of 828, 164, 328, 441, 514
1. What is the LCM of 828, 164, 328, 441, 514?
Answer: LCM of 828, 164, 328, 441, 514 is 855014328.
2. How to calculate the LCM of 828, 164, 328, 441, 514?
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 828, 164, 328, 441, 514.
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}.