LCM of 886, 526, 146, 487, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 526, 146, 487, 986 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 886, 526, 146, 487, 986. So, keep reading to learn more.
Given numbers are 886,526,146,487,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,526,146,487,986 is 4084023298574.
Find LCM of 886,526,146,487,986 with Prime Factorization
| 2 | 886, 526, 146, 487, 986 |
| 443, 263, 73, 487, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 443 x 263 x 73 x 487 x 493 = 4084023298574
Therefore, the lowest common multiple of 886,526,146,487,986 is 4084023298574.
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.
886 x 526 x 146 x 487 x 986 = 32672186388592
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.
886 : 1, 2, 443, 886
526 : 1, 2, 263, 526
146 : 1, 2, 73, 146
487 : 1, 487
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,526,146,487,986, is 1.
Now, the common factors can be found like this.
886:2x 443
526:2x 263
146:2x 73
487:487
986:2x 17x 29
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 2 = 8
Therefore, the value for common factors is 8.
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 = 32672186388592/(1x8)
LCM = 32672186388592/8
LCM = 4084023298574
Thus, we can understand that the LCM of 886,526,146,487,986 is 4084023298574.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 886, 526, 146, 487, 986
1. What is the LCM of 886, 526, 146, 487, 986?
Answer: LCM of 886, 526, 146, 487, 986 is 4084023298574.
2. How to calculate the LCM of 886, 526, 146, 487, 986?
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 886, 526, 146, 487, 986.
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}.