LCM of 556, 311, 286, 417, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 311, 286, 417, 286 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 556, 311, 286, 417, 286. So, keep reading to learn more.
Given numbers are 556,311,286,417,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,311,286,417,286 is 74180964.
Find LCM of 556,311,286,417,286 with Prime Factorization
| 2 | 556, 311, 286, 417, 286 |
| 11 | 278, 311, 143, 417, 143 |
| 13 | 278, 311, 13, 417, 13 |
| 139 | 278, 311, 1, 417, 1 |
| 2, 311, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 139 x 2 x 311 x 1 x 3 x 1 = 74180964
Therefore, the lowest common multiple of 556,311,286,417,286 is 74180964.
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.
556 x 311 x 286 x 417 x 286 = 5897980085712
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.
556 : 1, 2, 4, 139, 278, 556
311 : 1, 311
286 : 1, 2, 11, 13, 22, 26, 143, 286
417 : 1, 3, 139, 417
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,311,286,417,286, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
311:311
286:2x 11x 13
417:3x 139
286:2x 11x 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 11x 13x 139 = 79508
Therefore, the value for common factors is 79508.
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 = 5897980085712/(1x79508)
LCM = 5897980085712/79508
LCM = 74180964
Thus, we can understand that the LCM of 556,311,286,417,286 is 74180964.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 311, 286, 417, 286
1. What is the LCM of 556, 311, 286, 417, 286?
Answer: LCM of 556, 311, 286, 417, 286 is 74180964.
2. How to calculate the LCM of 556, 311, 286, 417, 286?
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 556, 311, 286, 417, 286.
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}.