LCM of 963, 323, 221, 428, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 323, 221, 428, 341 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 963, 323, 221, 428, 341. So, keep reading to learn more.
Given numbers are 963,323,221,428,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,323,221,428,341 is 5515520868.
Find LCM of 963,323,221,428,341 with Prime Factorization
| 17 | 963, 323, 221, 428, 341 |
| 107 | 963, 19, 13, 428, 341 |
| 9, 19, 13, 4, 341 |
Multiply the prime numbers at the bottom and the left side.
17 x 107 x 9 x 19 x 13 x 4 x 341 = 5515520868
Therefore, the lowest common multiple of 963,323,221,428,341 is 5515520868.
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.
963 x 323 x 221 x 428 x 341 = 10032732458892
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.
963 : 1, 3, 9, 107, 321, 963
323 : 1, 17, 19, 323
221 : 1, 13, 17, 221
428 : 1, 2, 4, 107, 214, 428
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,323,221,428,341, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
323:17x 19
221:13x 17
428:2x 2x 107
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 107 = 1819
Therefore, the value for common factors is 1819.
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 = 10032732458892/(1x1819)
LCM = 10032732458892/1819
LCM = 5515520868
Thus, we can understand that the LCM of 963,323,221,428,341 is 5515520868.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 323, 221, 428, 341
1. What is the LCM of 963, 323, 221, 428, 341?
Answer: LCM of 963, 323, 221, 428, 341 is 5515520868.
2. How to calculate the LCM of 963, 323, 221, 428, 341?
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 963, 323, 221, 428, 341.
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}.