LCM of 889, 348, 988, 960, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 348, 988, 960, 323 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 889, 348, 988, 960, 323. So, keep reading to learn more.
Given numbers are 889,348,988,960,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,348,988,960,323 is 103924242240.
Find LCM of 889,348,988,960,323 with Prime Factorization
| 2 | 889, 348, 988, 960, 323 |
| 2 | 889, 174, 494, 480, 323 |
| 3 | 889, 87, 247, 240, 323 |
| 19 | 889, 29, 247, 80, 323 |
| 889, 29, 13, 80, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 889 x 29 x 13 x 80 x 17 = 103924242240
Therefore, the lowest common multiple of 889,348,988,960,323 is 103924242240.
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.
889 x 348 x 988 x 960 x 323 = 94778908922880
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.
889 : 1, 7, 127, 889
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,348,988,960,323, is 1.
Now, the common factors can be found like this.
889:7x 127
348:2x 2x 3x 29
988:2x 2x 13x 19
960:2x 2x 2x 2x 2x 2x 3x 5
323:17x 19
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 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 94778908922880/(1x912)
LCM = 94778908922880/912
LCM = 103924242240
Thus, we can understand that the LCM of 889,348,988,960,323 is 103924242240.
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FAQs on LCM of 889, 348, 988, 960, 323
1. What is the LCM of 889, 348, 988, 960, 323?
Answer: LCM of 889, 348, 988, 960, 323 is 103924242240.
2. How to calculate the LCM of 889, 348, 988, 960, 323?
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 889, 348, 988, 960, 323.
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}.