LCM of 586, 101, 758, 843, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 101, 758, 843, 312 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 586, 101, 758, 843, 312. So, keep reading to learn more.
Given numbers are 586,101,758,843,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,101,758,843,312 is 983306970984.
Find LCM of 586,101,758,843,312 with Prime Factorization
| 2 | 586, 101, 758, 843, 312 |
| 3 | 293, 101, 379, 843, 156 |
| 293, 101, 379, 281, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 101 x 379 x 281 x 52 = 983306970984
Therefore, the lowest common multiple of 586,101,758,843,312 is 983306970984.
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.
586 x 101 x 758 x 843 x 312 = 11799683651808
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.
586 : 1, 2, 293, 586
101 : 1, 101
758 : 1, 2, 379, 758
843 : 1, 3, 281, 843
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,101,758,843,312, is 1.
Now, the common factors can be found like this.
586:2x 293
101:101
758:2x 379
843:3x 281
312:2x 2x 2x 3x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 11799683651808/(1x12)
LCM = 11799683651808/12
LCM = 983306970984
Thus, we can understand that the LCM of 586,101,758,843,312 is 983306970984.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 101, 758, 843, 312
1. What is the LCM of 586, 101, 758, 843, 312?
Answer: LCM of 586, 101, 758, 843, 312 is 983306970984.
2. How to calculate the LCM of 586, 101, 758, 843, 312?
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 586, 101, 758, 843, 312.
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}.