LCM of 309, 990, 391, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 990, 391, 905 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 309, 990, 391, 905. So, keep reading to learn more.
Given numbers are 309,990,391,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,990,391,905 is 7216518870.
Find LCM of 309,990,391,905 with Prime Factorization
| 3 | 309, 990, 391, 905 |
| 5 | 103, 330, 391, 905 |
| 103, 66, 391, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 103 x 66 x 391 x 181 = 7216518870
Therefore, the lowest common multiple of 309,990,391,905 is 7216518870.
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.
309 x 990 x 391 x 905 = 108247783050
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.
309 : 1, 3, 103, 309
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
391 : 1, 17, 23, 391
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,990,391,905, is 1.
Now, the common factors can be found like this.
309:3x 103
990:2x 3x 3x 5x 11
391:17x 23
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 108247783050/(1x15)
LCM = 108247783050/15
LCM = 7216518870
Thus, we can understand that the LCM of 309,990,391,905 is 7216518870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 990, 391, 905
1. What is the LCM of 309, 990, 391, 905?
Answer: LCM of 309, 990, 391, 905 is 7216518870.
2. How to calculate the LCM of 309, 990, 391, 905?
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 309, 990, 391, 905.
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}.