LCM of 923, 806, 960, 969, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 806, 960, 969, 978 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, 806, 960, 969, 978. So, keep reading to learn more.
Given numbers are 923,806,960,969,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,806,960,969,978 is 1446188003520.
Find LCM of 923,806,960,969,978 with Prime Factorization
| 2 | 923, 806, 960, 969, 978 |
| 3 | 923, 403, 480, 969, 489 |
| 13 | 923, 403, 160, 323, 163 |
| 71, 31, 160, 323, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 31 x 160 x 323 x 163 = 1446188003520
Therefore, the lowest common multiple of 923,806,960,969,978 is 1446188003520.
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 806 x 960 x 969 x 978 = 676815985647360
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
969 : 1, 3, 17, 19, 51, 57, 323, 969
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,806,960,969,978, is 1.
Now, the common factors can be found like this.
923:13x 71
806:2x 13x 31
960:2x 2x 2x 2x 2x 2x 3x 5
969:3x 17x 19
978:2x 3x 163
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 676815985647360/(1x468)
LCM = 676815985647360/468
LCM = 1446188003520
Thus, we can understand that the LCM of 923,806,960,969,978 is 1446188003520.
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FAQs on LCM of 923, 806, 960, 969, 978
1. What is the LCM of 923, 806, 960, 969, 978?
Answer: LCM of 923, 806, 960, 969, 978 is 1446188003520.
2. How to calculate the LCM of 923, 806, 960, 969, 978?
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, 806, 960, 969, 978.
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}.