LCM of 689, 840, 442, 871, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 840, 442, 871, 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 689, 840, 442, 871, 309. So, keep reading to learn more.
Given numbers are 689,840,442,871,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,840,442,871,309 is 67898386920.
Find LCM of 689,840,442,871,309 with Prime Factorization
| 2 | 689, 840, 442, 871, 309 |
| 3 | 689, 420, 221, 871, 309 |
| 13 | 689, 140, 221, 871, 103 |
| 53, 140, 17, 67, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 140 x 17 x 67 x 103 = 67898386920
Therefore, the lowest common multiple of 689,840,442,871,309 is 67898386920.
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.
689 x 840 x 442 x 871 x 309 = 68848964336880
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.
689 : 1, 13, 53, 689
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
442 : 1, 2, 13, 17, 26, 34, 221, 442
871 : 1, 13, 67, 871
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,840,442,871,309, is 1.
Now, the common factors can be found like this.
689:13x 53
840:2x 2x 2x 3x 5x 7
442:2x 13x 17
871:13x 67
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.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 68848964336880/(1x1014)
LCM = 68848964336880/1014
LCM = 67898386920
Thus, we can understand that the LCM of 689,840,442,871,309 is 67898386920.
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FAQs on LCM of 689, 840, 442, 871, 309
1. What is the LCM of 689, 840, 442, 871, 309?
Answer: LCM of 689, 840, 442, 871, 309 is 67898386920.
2. How to calculate the LCM of 689, 840, 442, 871, 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 689, 840, 442, 871, 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}.