LCM of 173, 777, 592, 887, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 777, 592, 887, 973 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 173, 777, 592, 887, 973. So, keep reading to learn more.
Given numbers are 173,777,592,887,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,777,592,887,973 is 265170693648.
Find LCM of 173,777,592,887,973 with Prime Factorization
| 7 | 173, 777, 592, 887, 973 |
| 37 | 173, 111, 592, 887, 139 |
| 173, 3, 16, 887, 139 |
Multiply the prime numbers at the bottom and the left side.
7 x 37 x 173 x 3 x 16 x 887 x 139 = 265170693648
Therefore, the lowest common multiple of 173,777,592,887,973 is 265170693648.
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.
173 x 777 x 592 x 887 x 973 = 68679209654832
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.
173 : 1, 173
777 : 1, 3, 7, 21, 37, 111, 259, 777
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
887 : 1, 887
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,777,592,887,973, is 1.
Now, the common factors can be found like this.
173:173
777:3x 7x 37
592:2x 2x 2x 2x 37
887:887
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 37 = 259
Therefore, the value for common factors is 259.
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 = 68679209654832/(1x259)
LCM = 68679209654832/259
LCM = 265170693648
Thus, we can understand that the LCM of 173,777,592,887,973 is 265170693648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 777, 592, 887, 973
1. What is the LCM of 173, 777, 592, 887, 973?
Answer: LCM of 173, 777, 592, 887, 973 is 265170693648.
2. How to calculate the LCM of 173, 777, 592, 887, 973?
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 173, 777, 592, 887, 973.
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}.