Find the LCM of 141, 772, 788, 172, 173 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 141, 772, 788, 172, 173. So, keep reading to learn more.
Given numbers are 141,772,788,172,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,772,788,172,173 is 159520755516.
Find LCM of 141,772,788,172,173 with Prime Factorization
2 | 141, 772, 788, 172, 173 |
2 | 141, 386, 394, 86, 173 |
141, 193, 197, 43, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 141 x 193 x 197 x 43 x 173 = 159520755516
Therefore, the lowest common multiple of 141,772,788,172,173 is 159520755516.
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.
141 x 772 x 788 x 172 x 173 = 2552332088256
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.
141 : 1, 3, 47, 141
772 : 1, 2, 4, 193, 386, 772
788 : 1, 2, 4, 197, 394, 788
172 : 1, 2, 4, 43, 86, 172
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,772,788,172,173, is 1.
Now, the common factors can be found like this.
141:3x 47
772:2x 2x 193
788:2x 2x 197
172:2x 2x 43
173:173
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 2 = 16
Therefore, the value for common factors is 16.
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 = 2552332088256/(1x16)
LCM = 2552332088256/16
LCM = 159520755516
Thus, we can understand that the LCM of 141,772,788,172,173 is 159520755516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 141, 772, 788, 172, 173?
Answer: LCM of 141, 772, 788, 172, 173 is 159520755516.
2. How to calculate the LCM of 141, 772, 788, 172, 173?
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 141, 772, 788, 172, 173.
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}.