LCM of 727, 192, 868, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 192, 868, 343 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 727, 192, 868, 343. So, keep reading to learn more.
Given numbers are 727,192,868,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,192,868,343 is 1484196672.
Find LCM of 727,192,868,343 with Prime Factorization
| 2 | 727, 192, 868, 343 |
| 2 | 727, 96, 434, 343 |
| 7 | 727, 48, 217, 343 |
| 727, 48, 31, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 727 x 48 x 31 x 49 = 1484196672
Therefore, the lowest common multiple of 727,192,868,343 is 1484196672.
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.
727 x 192 x 868 x 343 = 41557506816
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.
727 : 1, 727
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,192,868,343, is 1.
Now, the common factors can be found like this.
727:727
192:2x 2x 2x 2x 2x 2x 3
868:2x 2x 7x 31
343:7x 7x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 41557506816/(1x28)
LCM = 41557506816/28
LCM = 1484196672
Thus, we can understand that the LCM of 727,192,868,343 is 1484196672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 727, 192, 868, 343
1. What is the LCM of 727, 192, 868, 343?
Answer: LCM of 727, 192, 868, 343 is 1484196672.
2. How to calculate the LCM of 727, 192, 868, 343?
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 727, 192, 868, 343.
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}.