LCM of 984, 990, 309, 869, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 990, 309, 869, 316 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 984, 990, 309, 869, 316. So, keep reading to learn more.
Given numbers are 984,990,309,869,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,990,309,869,316 is 1321123320.
Find LCM of 984,990,309,869,316 with Prime Factorization
| 2 | 984, 990, 309, 869, 316 |
| 2 | 492, 495, 309, 869, 158 |
| 3 | 246, 495, 309, 869, 79 |
| 11 | 82, 165, 103, 869, 79 |
| 79 | 82, 15, 103, 79, 79 |
| 82, 15, 103, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 79 x 82 x 15 x 103 x 1 x 1 = 1321123320
Therefore, the lowest common multiple of 984,990,309,869,316 is 1321123320.
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.
984 x 990 x 309 x 869 x 316 = 82660043885760
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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
309 : 1, 3, 103, 309
869 : 1, 11, 79, 869
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,990,309,869,316, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
990:2x 3x 3x 5x 11
309:3x 103
869:11x 79
316:2x 2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 11x 79 = 62568
Therefore, the value for common factors is 62568.
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 = 82660043885760/(1x62568)
LCM = 82660043885760/62568
LCM = 1321123320
Thus, we can understand that the LCM of 984,990,309,869,316 is 1321123320.
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FAQs on LCM of 984, 990, 309, 869, 316
1. What is the LCM of 984, 990, 309, 869, 316?
Answer: LCM of 984, 990, 309, 869, 316 is 1321123320.
2. How to calculate the LCM of 984, 990, 309, 869, 316?
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 984, 990, 309, 869, 316.
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}.