Find the LCM of 232, 735, 289, 177, 221 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 232, 735, 289, 177, 221. So, keep reading to learn more.
Given numbers are 232,735,289,177,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,735,289,177,221 is 37797974760.
Find LCM of 232,735,289,177,221 with Prime Factorization
3 | 232, 735, 289, 177, 221 |
17 | 232, 245, 289, 59, 221 |
232, 245, 17, 59, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 232 x 245 x 17 x 59 x 13 = 37797974760
Therefore, the lowest common multiple of 232,735,289,177,221 is 37797974760.
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.
232 x 735 x 289 x 177 x 221 = 1927696712760
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
289 : 1, 17, 289
177 : 1, 3, 59, 177
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,735,289,177,221, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
735:3x 5x 7x 7
289:17x 17
177:3x 59
221:13x 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 17 = 51
Therefore, the value for common factors is 51.
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 = 1927696712760/(1x51)
LCM = 1927696712760/51
LCM = 37797974760
Thus, we can understand that the LCM of 232,735,289,177,221 is 37797974760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 735, 289, 177, 221?
Answer: LCM of 232, 735, 289, 177, 221 is 37797974760.
2. How to calculate the LCM of 232, 735, 289, 177, 221?
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 232, 735, 289, 177, 221.
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}.