LCM of 212, 442, 806, 852, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 442, 806, 852, 868 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 212, 442, 806, 852, 868. So, keep reading to learn more.
Given numbers are 212,442,806,852,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,442,806,852,868 is 2165546292.
Find LCM of 212,442,806,852,868 with Prime Factorization
| 2 | 212, 442, 806, 852, 868 |
| 2 | 106, 221, 403, 426, 434 |
| 13 | 53, 221, 403, 213, 217 |
| 31 | 53, 17, 31, 213, 217 |
| 53, 17, 1, 213, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 53 x 17 x 1 x 213 x 7 = 2165546292
Therefore, the lowest common multiple of 212,442,806,852,868 is 2165546292.
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.
212 x 442 x 806 x 852 x 868 = 55853769963264
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.
212 : 1, 2, 4, 53, 106, 212
442 : 1, 2, 13, 17, 26, 34, 221, 442
806 : 1, 2, 13, 26, 31, 62, 403, 806
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,442,806,852,868, is 2.
Now, the common factors can be found like this.
212:2x 2x 53
442:2x 13x 17
806:2x 13x 31
852:2x 2x 3x 71
868:2x 2x 7x 31
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 2x 13x 31 = 12896
Therefore, the value for common factors is 12896.
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 = 55853769963264/(2x12896)
LCM = 55853769963264/25792
LCM = 2165546292
Thus, we can understand that the LCM of 212,442,806,852,868 is 2165546292.
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FAQs on LCM of 212, 442, 806, 852, 868
1. What is the LCM of 212, 442, 806, 852, 868?
Answer: LCM of 212, 442, 806, 852, 868 is 2165546292.
2. How to calculate the LCM of 212, 442, 806, 852, 868?
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 212, 442, 806, 852, 868.
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}.