LCM of 868, 522, 714, 452, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 522, 714, 452, 854 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 868, 522, 714, 452, 854. So, keep reading to learn more.
Given numbers are 868,522,714,452,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,522,714,452,854 is 26547121188.
Find LCM of 868,522,714,452,854 with Prime Factorization
| 2 | 868, 522, 714, 452, 854 |
| 2 | 434, 261, 357, 226, 427 |
| 3 | 217, 261, 357, 113, 427 |
| 7 | 217, 87, 119, 113, 427 |
| 31, 87, 17, 113, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 87 x 17 x 113 x 61 = 26547121188
Therefore, the lowest common multiple of 868,522,714,452,854 is 26547121188.
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.
868 x 522 x 714 x 452 x 854 = 124877658068352
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
452 : 1, 2, 4, 113, 226, 452
854 : 1, 2, 7, 14, 61, 122, 427, 854
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,522,714,452,854, is 2.
Now, the common factors can be found like this.
868:2x 2x 7x 31
522:2x 3x 3x 29
714:2x 3x 7x 17
452:2x 2x 113
854:2x 7x 61
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 124877658068352/(2x2352)
LCM = 124877658068352/4704
LCM = 26547121188
Thus, we can understand that the LCM of 868,522,714,452,854 is 26547121188.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 868, 522, 714, 452, 854
1. What is the LCM of 868, 522, 714, 452, 854?
Answer: LCM of 868, 522, 714, 452, 854 is 26547121188.
2. How to calculate the LCM of 868, 522, 714, 452, 854?
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 868, 522, 714, 452, 854.
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}.