LCM of 347, 340, 831, 654, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 340, 831, 654, 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 347, 340, 831, 654, 986. So, keep reading to learn more.
Given numbers are 347,340,831,654,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,340,831,654,986 is 309908802180.
Find LCM of 347,340,831,654,986 with Prime Factorization
| 2 | 347, 340, 831, 654, 986 |
| 3 | 347, 170, 831, 327, 493 |
| 17 | 347, 170, 277, 109, 493 |
| 347, 10, 277, 109, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 347 x 10 x 277 x 109 x 29 = 309908802180
Therefore, the lowest common multiple of 347,340,831,654,986 is 309908802180.
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.
347 x 340 x 831 x 654 x 986 = 63221395644720
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.
347 : 1, 347
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
831 : 1, 3, 277, 831
654 : 1, 2, 3, 6, 109, 218, 327, 654
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 347,340,831,654,986, is 1.
Now, the common factors can be found like this.
347:347
340:2x 2x 5x 17
831:3x 277
654:2x 3x 109
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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 63221395644720/(1x204)
LCM = 63221395644720/204
LCM = 309908802180
Thus, we can understand that the LCM of 347,340,831,654,986 is 309908802180.
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FAQs on LCM of 347, 340, 831, 654, 986
1. What is the LCM of 347, 340, 831, 654, 986?
Answer: LCM of 347, 340, 831, 654, 986 is 309908802180.
2. How to calculate the LCM of 347, 340, 831, 654, 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 347, 340, 831, 654, 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}.