LCM of 391, 986, 616, 323, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 986, 616, 323, 208 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 391, 986, 616, 323, 208. So, keep reading to learn more.
Given numbers are 391,986,616,323,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,986,616,323,208 is 3450503056.
Find LCM of 391,986,616,323,208 with Prime Factorization
| 2 | 391, 986, 616, 323, 208 |
| 2 | 391, 493, 308, 323, 104 |
| 2 | 391, 493, 154, 323, 52 |
| 17 | 391, 493, 77, 323, 26 |
| 23, 29, 77, 19, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 23 x 29 x 77 x 19 x 26 = 3450503056
Therefore, the lowest common multiple of 391,986,616,323,208 is 3450503056.
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.
391 x 986 x 616 x 323 x 208 = 15955126130944
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.
391 : 1, 17, 23, 391
986 : 1, 2, 17, 29, 34, 58, 493, 986
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
323 : 1, 17, 19, 323
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,986,616,323,208, is 1.
Now, the common factors can be found like this.
391:17x 23
986:2x 17x 29
616:2x 2x 2x 7x 11
323:17x 19
208:2x 2x 2x 2x 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 2x 2x 17x 17 = 4624
Therefore, the value for common factors is 4624.
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 = 15955126130944/(1x4624)
LCM = 15955126130944/4624
LCM = 3450503056
Thus, we can understand that the LCM of 391,986,616,323,208 is 3450503056.
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FAQs on LCM of 391, 986, 616, 323, 208
1. What is the LCM of 391, 986, 616, 323, 208?
Answer: LCM of 391, 986, 616, 323, 208 is 3450503056.
2. How to calculate the LCM of 391, 986, 616, 323, 208?
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 391, 986, 616, 323, 208.
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}.