LCM of 725, 832, 992, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 832, 992, 969 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 725, 832, 992, 969. So, keep reading to learn more.
Given numbers are 725,832,992,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,832,992,969 is 18119524800.
Find LCM of 725,832,992,969 with Prime Factorization
| 2 | 725, 832, 992, 969 |
| 2 | 725, 416, 496, 969 |
| 2 | 725, 208, 248, 969 |
| 2 | 725, 104, 124, 969 |
| 2 | 725, 52, 62, 969 |
| 725, 26, 31, 969 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 725 x 26 x 31 x 969 = 18119524800
Therefore, the lowest common multiple of 725,832,992,969 is 18119524800.
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.
725 x 832 x 992 x 969 = 579824793600
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.
725 : 1, 5, 25, 29, 145, 725
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,832,992,969, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
832:2x 2x 2x 2x 2x 2x 13
992:2x 2x 2x 2x 2x 31
969:3x 17x 19
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 2 = 32
Therefore, the value for common factors is 32.
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 = 579824793600/(1x32)
LCM = 579824793600/32
LCM = 18119524800
Thus, we can understand that the LCM of 725,832,992,969 is 18119524800.
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FAQs on LCM of 725, 832, 992, 969
1. What is the LCM of 725, 832, 992, 969?
Answer: LCM of 725, 832, 992, 969 is 18119524800.
2. How to calculate the LCM of 725, 832, 992, 969?
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 725, 832, 992, 969.
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}.