LCM of 328, 779, 984, 582, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 779, 984, 582, 992 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 328, 779, 984, 582, 992. So, keep reading to learn more.
Given numbers are 328,779,984,582,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,779,984,582,992 is 224875488.
Find LCM of 328,779,984,582,992 with Prime Factorization
| 2 | 328, 779, 984, 582, 992 |
| 2 | 164, 779, 492, 291, 496 |
| 2 | 82, 779, 246, 291, 248 |
| 3 | 41, 779, 123, 291, 124 |
| 41 | 41, 779, 41, 97, 124 |
| 1, 19, 1, 97, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 1 x 19 x 1 x 97 x 124 = 224875488
Therefore, the lowest common multiple of 328,779,984,582,992 is 224875488.
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.
328 x 779 x 984 x 582 x 992 = 145158027005952
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
779 : 1, 19, 41, 779
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
582 : 1, 2, 3, 6, 97, 194, 291, 582
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,779,984,582,992, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
779:19x 41
984:2x 2x 2x 3x 41
582:2x 3x 97
992:2x 2x 2x 2x 2x 31
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 2x 2x 2x 3x 41x 41 = 645504
Therefore, the value for common factors is 645504.
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 = 145158027005952/(1x645504)
LCM = 145158027005952/645504
LCM = 224875488
Thus, we can understand that the LCM of 328,779,984,582,992 is 224875488.
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FAQs on LCM of 328, 779, 984, 582, 992
1. What is the LCM of 328, 779, 984, 582, 992?
Answer: LCM of 328, 779, 984, 582, 992 is 224875488.
2. How to calculate the LCM of 328, 779, 984, 582, 992?
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 328, 779, 984, 582, 992.
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}.