LCM of 923, 457, 868, 992, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 457, 868, 992, 287 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 923, 457, 868, 992, 287. So, keep reading to learn more.
Given numbers are 923,457,868,992,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,457,868,992,287 is 120091278944.
Find LCM of 923,457,868,992,287 with Prime Factorization
| 2 | 923, 457, 868, 992, 287 |
| 2 | 923, 457, 434, 496, 287 |
| 7 | 923, 457, 217, 248, 287 |
| 31 | 923, 457, 31, 248, 41 |
| 923, 457, 1, 8, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 31 x 923 x 457 x 1 x 8 x 41 = 120091278944
Therefore, the lowest common multiple of 923,457,868,992,287 is 120091278944.
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.
923 x 457 x 868 x 992 x 287 = 104239230123392
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.
923 : 1, 13, 71, 923
457 : 1, 457
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,457,868,992,287, is 1.
Now, the common factors can be found like this.
923:13x 71
457:457
868:2x 2x 7x 31
992:2x 2x 2x 2x 2x 31
287:7x 41
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 7x 31 = 868
Therefore, the value for common factors is 868.
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 = 104239230123392/(1x868)
LCM = 104239230123392/868
LCM = 120091278944
Thus, we can understand that the LCM of 923,457,868,992,287 is 120091278944.
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FAQs on LCM of 923, 457, 868, 992, 287
1. What is the LCM of 923, 457, 868, 992, 287?
Answer: LCM of 923, 457, 868, 992, 287 is 120091278944.
2. How to calculate the LCM of 923, 457, 868, 992, 287?
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 923, 457, 868, 992, 287.
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}.