LCM of 172, 505, 685, 500, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 505, 685, 500, 242 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 172, 505, 685, 500, 242. So, keep reading to learn more.
Given numbers are 172,505,685,500,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,505,685,500,242 is 35996955500.
Find LCM of 172,505,685,500,242 with Prime Factorization
| 2 | 172, 505, 685, 500, 242 |
| 2 | 86, 505, 685, 250, 121 |
| 5 | 43, 505, 685, 125, 121 |
| 43, 101, 137, 25, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 101 x 137 x 25 x 121 = 35996955500
Therefore, the lowest common multiple of 172,505,685,500,242 is 35996955500.
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.
172 x 505 x 685 x 500 x 242 = 7199391100000
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.
172 : 1, 2, 4, 43, 86, 172
505 : 1, 5, 101, 505
685 : 1, 5, 137, 685
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,505,685,500,242, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
505:5x 101
685:5x 137
500:2x 2x 5x 5x 5
242:2x 11x 11
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 7199391100000/(1x200)
LCM = 7199391100000/200
LCM = 35996955500
Thus, we can understand that the LCM of 172,505,685,500,242 is 35996955500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 172, 505, 685, 500, 242
1. What is the LCM of 172, 505, 685, 500, 242?
Answer: LCM of 172, 505, 685, 500, 242 is 35996955500.
2. How to calculate the LCM of 172, 505, 685, 500, 242?
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 172, 505, 685, 500, 242.
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}.