LCM of 923, 504, 982, 949, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 504, 982, 949, 860 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, 504, 982, 949, 860. So, keep reading to learn more.
Given numbers are 923,504,982,949,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,504,982,949,860 is 3584883524040.
Find LCM of 923,504,982,949,860 with Prime Factorization
| 2 | 923, 504, 982, 949, 860 |
| 2 | 923, 252, 491, 949, 430 |
| 13 | 923, 126, 491, 949, 215 |
| 71, 126, 491, 73, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 71 x 126 x 491 x 73 x 215 = 3584883524040
Therefore, the lowest common multiple of 923,504,982,949,860 is 3584883524040.
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 504 x 982 x 949 x 860 = 372827886500160
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
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
982 : 1, 2, 491, 982
949 : 1, 13, 73, 949
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,504,982,949,860, is 1.
Now, the common factors can be found like this.
923:13x 71
504:2x 2x 2x 3x 3x 7
982:2x 491
949:13x 73
860:2x 2x 5x 43
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 13 = 104
Therefore, the value for common factors is 104.
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 = 372827886500160/(1x104)
LCM = 372827886500160/104
LCM = 3584883524040
Thus, we can understand that the LCM of 923,504,982,949,860 is 3584883524040.
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FAQs on LCM of 923, 504, 982, 949, 860
1. What is the LCM of 923, 504, 982, 949, 860?
Answer: LCM of 923, 504, 982, 949, 860 is 3584883524040.
2. How to calculate the LCM of 923, 504, 982, 949, 860?
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, 504, 982, 949, 860.
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}.