LCM of 141, 657, 365, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 657, 365, 187 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, 657, 365, 187. So, keep reading to learn more.
Given numbers are 141,657,365,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,657,365,187 is 28871865.
Find LCM of 141,657,365,187 with Prime Factorization
| 3 | 141, 657, 365, 187 |
| 73 | 47, 219, 365, 187 |
| 47, 3, 5, 187 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 47 x 3 x 5 x 187 = 28871865
Therefore, the lowest common multiple of 141,657,365,187 is 28871865.
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 657 x 365 x 187 = 6322938435
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
657 : 1, 3, 9, 73, 219, 657
365 : 1, 5, 73, 365
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,657,365,187, is 1.
Now, the common factors can be found like this.
141:3x 47
657:3x 3x 73
365:5x 73
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 73 = 219
Therefore, the value for common factors is 219.
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 = 6322938435/(1x219)
LCM = 6322938435/219
LCM = 28871865
Thus, we can understand that the LCM of 141,657,365,187 is 28871865.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 141, 657, 365, 187
1. What is the LCM of 141, 657, 365, 187?
Answer: LCM of 141, 657, 365, 187 is 28871865.
2. How to calculate the LCM of 141, 657, 365, 187?
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, 657, 365, 187.
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}.