LCM of 108, 984, 858, 517, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 984, 858, 517, 279 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 108, 984, 858, 517, 279. So, keep reading to learn more.
Given numbers are 108,984,858,517,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,984,858,517,279 is 1845156456.
Find LCM of 108,984,858,517,279 with Prime Factorization
| 2 | 108, 984, 858, 517, 279 |
| 2 | 54, 492, 429, 517, 279 |
| 3 | 27, 246, 429, 517, 279 |
| 3 | 9, 82, 143, 517, 93 |
| 11 | 3, 82, 143, 517, 31 |
| 3, 82, 13, 47, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 3 x 82 x 13 x 47 x 31 = 1845156456
Therefore, the lowest common multiple of 108,984,858,517,279 is 1845156456.
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.
108 x 984 x 858 x 517 x 279 = 13152275218368
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
517 : 1, 11, 47, 517
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,984,858,517,279, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
984:2x 2x 2x 3x 41
858:2x 3x 11x 13
517:11x 47
279:3x 3x 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 3x 3x 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 13152275218368/(1x7128)
LCM = 13152275218368/7128
LCM = 1845156456
Thus, we can understand that the LCM of 108,984,858,517,279 is 1845156456.
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FAQs on LCM of 108, 984, 858, 517, 279
1. What is the LCM of 108, 984, 858, 517, 279?
Answer: LCM of 108, 984, 858, 517, 279 is 1845156456.
2. How to calculate the LCM of 108, 984, 858, 517, 279?
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 108, 984, 858, 517, 279.
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}.