LCM of 909, 321, 963, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 321, 963, 309 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, 321, 963, 309. So, keep reading to learn more.
Given numbers are 909,321,963,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,321,963,309 is 10018089.
Find LCM of 909,321,963,309 with Prime Factorization
| 3 | 909, 321, 963, 309 |
| 3 | 303, 107, 321, 103 |
| 107 | 101, 107, 107, 103 |
| 101, 1, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 107 x 101 x 1 x 1 x 103 = 10018089
Therefore, the lowest common multiple of 909,321,963,309 is 10018089.
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 321 x 963 x 309 = 86826777363
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
321 : 1, 3, 107, 321
963 : 1, 3, 9, 107, 321, 963
309 : 1, 3, 103, 309
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,321,963,309, is 3.
Now, the common factors can be found like this.
909:3x 3x 101
321:3x 107
963:3x 3x 107
309:3x 103
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 3x 107 = 2889
Therefore, the value for common factors is 2889.
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 = 86826777363/(3x2889)
LCM = 86826777363/8667
LCM = 10018089
Thus, we can understand that the LCM of 909,321,963,309 is 10018089.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 321, 963, 309
1. What is the LCM of 909, 321, 963, 309?
Answer: LCM of 909, 321, 963, 309 is 10018089.
2. How to calculate the LCM of 909, 321, 963, 309?
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, 321, 963, 309.
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}.