LCM of 973, 845, 574, 923, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 845, 574, 923, 780 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 973, 845, 574, 923, 780. So, keep reading to learn more.
Given numbers are 973,845,574,923,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,845,574,923,780 is 28720566420.
Find LCM of 973,845,574,923,780 with Prime Factorization
| 2 | 973, 845, 574, 923, 780 |
| 5 | 973, 845, 287, 923, 390 |
| 7 | 973, 169, 287, 923, 78 |
| 13 | 139, 169, 41, 923, 78 |
| 139, 13, 41, 71, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 139 x 13 x 41 x 71 x 6 = 28720566420
Therefore, the lowest common multiple of 973,845,574,923,780 is 28720566420.
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.
973 x 845 x 574 x 923 x 780 = 339764300748600
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.
973 : 1, 7, 139, 973
845 : 1, 5, 13, 65, 169, 845
574 : 1, 2, 7, 14, 41, 82, 287, 574
923 : 1, 13, 71, 923
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,845,574,923,780, is 1.
Now, the common factors can be found like this.
973:7x 139
845:5x 13x 13
574:2x 7x 41
923:13x 71
780:2x 2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 13x 13 = 11830
Therefore, the value for common factors is 11830.
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 = 339764300748600/(1x11830)
LCM = 339764300748600/11830
LCM = 28720566420
Thus, we can understand that the LCM of 973,845,574,923,780 is 28720566420.
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FAQs on LCM of 973, 845, 574, 923, 780
1. What is the LCM of 973, 845, 574, 923, 780?
Answer: LCM of 973, 845, 574, 923, 780 is 28720566420.
2. How to calculate the LCM of 973, 845, 574, 923, 780?
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 973, 845, 574, 923, 780.
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}.