LCM of 173, 315, 977, 558, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 315, 977, 558, 108 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, 315, 977, 558, 108. So, keep reading to learn more.
Given numbers are 173,315,977,558,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,315,977,558,108 is 19805880780.
Find LCM of 173,315,977,558,108 with Prime Factorization
| 2 | 173, 315, 977, 558, 108 |
| 3 | 173, 315, 977, 279, 54 |
| 3 | 173, 105, 977, 93, 18 |
| 173, 35, 977, 31, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 173 x 35 x 977 x 31 x 6 = 19805880780
Therefore, the lowest common multiple of 173,315,977,558,108 is 19805880780.
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 315 x 977 x 558 x 108 = 3208552686360
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
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
977 : 1, 977
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,315,977,558,108, is 1.
Now, the common factors can be found like this.
173:173
315:3x 3x 5x 7
977:977
558:2x 3x 3x 31
108:2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 3208552686360/(1x162)
LCM = 3208552686360/162
LCM = 19805880780
Thus, we can understand that the LCM of 173,315,977,558,108 is 19805880780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 315, 977, 558, 108
1. What is the LCM of 173, 315, 977, 558, 108?
Answer: LCM of 173, 315, 977, 558, 108 is 19805880780.
2. How to calculate the LCM of 173, 315, 977, 558, 108?
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, 315, 977, 558, 108.
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}.