LCM of 321, 229, 915, 428, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 229, 915, 428, 519 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 321, 229, 915, 428, 519. So, keep reading to learn more.
Given numbers are 321,229,915,428,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,229,915,428,519 is 15514809540.
Find LCM of 321,229,915,428,519 with Prime Factorization
| 3 | 321, 229, 915, 428, 519 |
| 107 | 107, 229, 305, 428, 173 |
| 1, 229, 305, 4, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 1 x 229 x 305 x 4 x 173 = 15514809540
Therefore, the lowest common multiple of 321,229,915,428,519 is 15514809540.
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.
321 x 229 x 915 x 428 x 519 = 14940761587020
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.
321 : 1, 3, 107, 321
229 : 1, 229
915 : 1, 3, 5, 15, 61, 183, 305, 915
428 : 1, 2, 4, 107, 214, 428
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,229,915,428,519, is 1.
Now, the common factors can be found like this.
321:3x 107
229:229
915:3x 5x 61
428:2x 2x 107
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 107 = 963
Therefore, the value for common factors is 963.
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 = 14940761587020/(1x963)
LCM = 14940761587020/963
LCM = 15514809540
Thus, we can understand that the LCM of 321,229,915,428,519 is 15514809540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 229, 915, 428, 519
1. What is the LCM of 321, 229, 915, 428, 519?
Answer: LCM of 321, 229, 915, 428, 519 is 15514809540.
2. How to calculate the LCM of 321, 229, 915, 428, 519?
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 321, 229, 915, 428, 519.
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}.