LCM of 983, 798, 558, 342, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 798, 558, 342, 246 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 983, 798, 558, 342, 246. So, keep reading to learn more.
Given numbers are 983,798,558,342,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,798,558,342,246 is 2991046842.
Find LCM of 983,798,558,342,246 with Prime Factorization
| 2 | 983, 798, 558, 342, 246 |
| 3 | 983, 399, 279, 171, 123 |
| 3 | 983, 133, 93, 57, 41 |
| 19 | 983, 133, 31, 19, 41 |
| 983, 7, 31, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 983 x 7 x 31 x 1 x 41 = 2991046842
Therefore, the lowest common multiple of 983,798,558,342,246 is 2991046842.
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.
983 x 798 x 558 x 342 x 246 = 36825768718704
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.
983 : 1, 983
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,798,558,342,246, is 1.
Now, the common factors can be found like this.
983:983
798:2x 3x 7x 19
558:2x 3x 3x 31
342:2x 3x 3x 19
246:2x 3x 41
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 19 = 12312
Therefore, the value for common factors is 12312.
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 = 36825768718704/(1x12312)
LCM = 36825768718704/12312
LCM = 2991046842
Thus, we can understand that the LCM of 983,798,558,342,246 is 2991046842.
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FAQs on LCM of 983, 798, 558, 342, 246
1. What is the LCM of 983, 798, 558, 342, 246?
Answer: LCM of 983, 798, 558, 342, 246 is 2991046842.
2. How to calculate the LCM of 983, 798, 558, 342, 246?
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 983, 798, 558, 342, 246.
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}.