LCM of 884, 998, 723, 898, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 998, 723, 898, 960 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 884, 998, 723, 898, 960. So, keep reading to learn more.
Given numbers are 884,998,723,898,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,998,723,898,960 is 11455853098560.
Find LCM of 884,998,723,898,960 with Prime Factorization
| 2 | 884, 998, 723, 898, 960 |
| 2 | 442, 499, 723, 449, 480 |
| 3 | 221, 499, 723, 449, 240 |
| 221, 499, 241, 449, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 221 x 499 x 241 x 449 x 80 = 11455853098560
Therefore, the lowest common multiple of 884,998,723,898,960 is 11455853098560.
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.
884 x 998 x 723 x 898 x 960 = 549880948730880
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
998 : 1, 2, 499, 998
723 : 1, 3, 241, 723
898 : 1, 2, 449, 898
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,998,723,898,960, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
998:2x 499
723:3x 241
898:2x 449
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 549880948730880/(1x48)
LCM = 549880948730880/48
LCM = 11455853098560
Thus, we can understand that the LCM of 884,998,723,898,960 is 11455853098560.
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FAQs on LCM of 884, 998, 723, 898, 960
1. What is the LCM of 884, 998, 723, 898, 960?
Answer: LCM of 884, 998, 723, 898, 960 is 11455853098560.
2. How to calculate the LCM of 884, 998, 723, 898, 960?
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 884, 998, 723, 898, 960.
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}.