LCM of 586, 556, 278, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 556, 278, 836 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, 556, 278, 836. So, keep reading to learn more.
Given numbers are 586,556,278,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,556,278,836 is 34047772.
Find LCM of 586,556,278,836 with Prime Factorization
| 2 | 586, 556, 278, 836 |
| 2 | 293, 278, 139, 418 |
| 139 | 293, 139, 139, 209 |
| 293, 1, 1, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 293 x 1 x 1 x 209 = 34047772
Therefore, the lowest common multiple of 586,556,278,836 is 34047772.
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 556 x 278 x 836 = 75722244928
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
556 : 1, 2, 4, 139, 278, 556
278 : 1, 2, 139, 278
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,556,278,836, is 2.
Now, the common factors can be found like this.
586:2x 293
556:2x 2x 139
278:2x 139
836:2x 2x 11x 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 139 = 1112
Therefore, the value for common factors is 1112.
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 = 75722244928/(2x1112)
LCM = 75722244928/2224
LCM = 34047772
Thus, we can understand that the LCM of 586,556,278,836 is 34047772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 556, 278, 836
1. What is the LCM of 586, 556, 278, 836?
Answer: LCM of 586, 556, 278, 836 is 34047772.
2. How to calculate the LCM of 586, 556, 278, 836?
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, 556, 278, 836.
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}.