LCM of 909, 348, 614, 921, 483
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 348, 614, 921, 483 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 909, 348, 614, 921, 483. So, keep reading to learn more.
Given numbers are 909,348,614,921,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,348,614,921,483 is 5211780588.
Find LCM of 909,348,614,921,483 with Prime Factorization
| 2 | 909, 348, 614, 921, 483 |
| 3 | 909, 174, 307, 921, 483 |
| 307 | 303, 58, 307, 307, 161 |
| 303, 58, 1, 1, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 307 x 303 x 58 x 1 x 1 x 161 = 5211780588
Therefore, the lowest common multiple of 909,348,614,921,483 is 5211780588.
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.
909 x 348 x 614 x 921 x 483 = 86400898587864
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.
909 : 1, 3, 9, 101, 303, 909
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
614 : 1, 2, 307, 614
921 : 1, 3, 307, 921
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,348,614,921,483, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
348:2x 2x 3x 29
614:2x 307
921:3x 307
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 307 = 16578
Therefore, the value for common factors is 16578.
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 = 86400898587864/(1x16578)
LCM = 86400898587864/16578
LCM = 5211780588
Thus, we can understand that the LCM of 909,348,614,921,483 is 5211780588.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 348, 614, 921, 483
1. What is the LCM of 909, 348, 614, 921, 483?
Answer: LCM of 909, 348, 614, 921, 483 is 5211780588.
2. How to calculate the LCM of 909, 348, 614, 921, 483?
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 909, 348, 614, 921, 483.
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}.