LCM of 973, 852, 928, 889, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 852, 928, 889, 939 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, 852, 928, 889, 939. So, keep reading to learn more.
Given numbers are 973,852,928,889,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,852,928,889,939 is 7645193439072.
Find LCM of 973,852,928,889,939 with Prime Factorization
| 2 | 973, 852, 928, 889, 939 |
| 2 | 973, 426, 464, 889, 939 |
| 3 | 973, 213, 232, 889, 939 |
| 7 | 973, 71, 232, 889, 313 |
| 139, 71, 232, 127, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 139 x 71 x 232 x 127 x 313 = 7645193439072
Therefore, the lowest common multiple of 973,852,928,889,939 is 7645193439072.
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 852 x 928 x 889 x 939 = 642196248882048
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
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
889 : 1, 7, 127, 889
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,852,928,889,939, is 1.
Now, the common factors can be found like this.
973:7x 139
852:2x 2x 3x 71
928:2x 2x 2x 2x 2x 29
889:7x 127
939:3x 313
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 7 = 84
Therefore, the value for common factors is 84.
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 = 642196248882048/(1x84)
LCM = 642196248882048/84
LCM = 7645193439072
Thus, we can understand that the LCM of 973,852,928,889,939 is 7645193439072.
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FAQs on LCM of 973, 852, 928, 889, 939
1. What is the LCM of 973, 852, 928, 889, 939?
Answer: LCM of 973, 852, 928, 889, 939 is 7645193439072.
2. How to calculate the LCM of 973, 852, 928, 889, 939?
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, 852, 928, 889, 939.
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}.