LCM of 308, 949, 833, 361, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 949, 833, 361, 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 308, 949, 833, 361, 986. So, keep reading to learn more.
Given numbers are 308,949,833,361,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,949,833,361,986 is 364140588812.
Find LCM of 308,949,833,361,986 with Prime Factorization
| 2 | 308, 949, 833, 361, 986 |
| 7 | 154, 949, 833, 361, 493 |
| 17 | 22, 949, 119, 361, 493 |
| 22, 949, 7, 361, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 22 x 949 x 7 x 361 x 29 = 364140588812
Therefore, the lowest common multiple of 308,949,833,361,986 is 364140588812.
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.
308 x 949 x 833 x 361 x 986 = 86665460137256
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
949 : 1, 13, 73, 949
833 : 1, 7, 17, 49, 119, 833
361 : 1, 19, 361
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 308,949,833,361,986, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
949:13x 73
833:7x 7x 17
361:19x 19
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 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 86665460137256/(1x238)
LCM = 86665460137256/238
LCM = 364140588812
Thus, we can understand that the LCM of 308,949,833,361,986 is 364140588812.
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FAQs on LCM of 308, 949, 833, 361, 986
1. What is the LCM of 308, 949, 833, 361, 986?
Answer: LCM of 308, 949, 833, 361, 986 is 364140588812.
2. How to calculate the LCM of 308, 949, 833, 361, 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 308, 949, 833, 361, 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}.