LCM of 391, 741, 104, 586, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 741, 104, 586, 636 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, 741, 104, 586, 636. So, keep reading to learn more.
Given numbers are 391,741,104,586,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,741,104,586,636 is 35993861592.
Find LCM of 391,741,104,586,636 with Prime Factorization
| 2 | 391, 741, 104, 586, 636 |
| 2 | 391, 741, 52, 293, 318 |
| 3 | 391, 741, 26, 293, 159 |
| 13 | 391, 247, 26, 293, 53 |
| 391, 19, 2, 293, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 391 x 19 x 2 x 293 x 53 = 35993861592
Therefore, the lowest common multiple of 391,741,104,586,636 is 35993861592.
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 741 x 104 x 586 x 636 = 11230084816704
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
104 : 1, 2, 4, 8, 13, 26, 52, 104
586 : 1, 2, 293, 586
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,741,104,586,636, is 1.
Now, the common factors can be found like this.
391:17x 23
741:3x 13x 19
104:2x 2x 2x 13
586:2x 293
636:2x 2x 3x 53
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 11230084816704/(1x312)
LCM = 11230084816704/312
LCM = 35993861592
Thus, we can understand that the LCM of 391,741,104,586,636 is 35993861592.
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FAQs on LCM of 391, 741, 104, 586, 636
1. What is the LCM of 391, 741, 104, 586, 636?
Answer: LCM of 391, 741, 104, 586, 636 is 35993861592.
2. How to calculate the LCM of 391, 741, 104, 586, 636?
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, 741, 104, 586, 636.
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}.