LCM of 868, 722, 728, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 722, 728, 892 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, 722, 728, 892. So, keep reading to learn more.
Given numbers are 868,722,728,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,722,728,892 is 1816791704.
Find LCM of 868,722,728,892 with Prime Factorization
| 2 | 868, 722, 728, 892 |
| 2 | 434, 361, 364, 446 |
| 7 | 217, 361, 182, 223 |
| 31, 361, 26, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 31 x 361 x 26 x 223 = 1816791704
Therefore, the lowest common multiple of 868,722,728,892 is 1816791704.
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 722 x 728 x 892 = 406961341696
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
722 : 1, 2, 19, 38, 361, 722
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
892 : 1, 2, 4, 223, 446, 892
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,722,728,892, is 2.
Now, the common factors can be found like this.
868:2x 2x 7x 31
722:2x 19x 19
728:2x 2x 2x 7x 13
892:2x 2x 223
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 7 = 112
Therefore, the value for common factors is 112.
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 = 406961341696/(2x112)
LCM = 406961341696/224
LCM = 1816791704
Thus, we can understand that the LCM of 868,722,728,892 is 1816791704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 868, 722, 728, 892
1. What is the LCM of 868, 722, 728, 892?
Answer: LCM of 868, 722, 728, 892 is 1816791704.
2. How to calculate the LCM of 868, 722, 728, 892?
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, 722, 728, 892.
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}.