LCM of 646, 836, 130, 682, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 836, 130, 682, 858 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 646, 836, 130, 682, 858. So, keep reading to learn more.
Given numbers are 646,836,130,682,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,836,130,682,858 is 85911540.
Find LCM of 646,836,130,682,858 with Prime Factorization
| 2 | 646, 836, 130, 682, 858 |
| 11 | 323, 418, 65, 341, 429 |
| 13 | 323, 38, 65, 31, 39 |
| 19 | 323, 38, 5, 31, 3 |
| 17, 2, 5, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 19 x 17 x 2 x 5 x 31 x 3 = 85911540
Therefore, the lowest common multiple of 646,836,130,682,858 is 85911540.
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.
646 x 836 x 130 x 682 x 858 = 41082211135680
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
130 : 1, 2, 5, 10, 13, 26, 65, 130
682 : 1, 2, 11, 22, 31, 62, 341, 682
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,836,130,682,858, is 2.
Now, the common factors can be found like this.
646:2x 17x 19
836:2x 2x 11x 19
130:2x 5x 13
682:2x 11x 31
858:2x 3x 11x 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 11x 11x 13x 19 = 239096
Therefore, the value for common factors is 239096.
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 = 41082211135680/(2x239096)
LCM = 41082211135680/478192
LCM = 85911540
Thus, we can understand that the LCM of 646,836,130,682,858 is 85911540.
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FAQs on LCM of 646, 836, 130, 682, 858
1. What is the LCM of 646, 836, 130, 682, 858?
Answer: LCM of 646, 836, 130, 682, 858 is 85911540.
2. How to calculate the LCM of 646, 836, 130, 682, 858?
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 646, 836, 130, 682, 858.
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}.