LCM of 133, 252, 304, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 133, 252, 304, 361 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 133, 252, 304, 361. So, keep reading to learn more.
Given numbers are 133,252,304,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,252,304,361 is 363888.
Find LCM of 133,252,304,361 with Prime Factorization
| 2 | 133, 252, 304, 361 |
| 2 | 133, 126, 152, 361 |
| 7 | 133, 63, 76, 361 |
| 19 | 19, 9, 76, 361 |
| 1, 9, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 1 x 9 x 4 x 19 = 363888
Therefore, the lowest common multiple of 133,252,304,361 is 363888.
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.
133 x 252 x 304 x 361 = 3678179904
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.
133 : 1, 7, 19, 133
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,252,304,361, is 1.
Now, the common factors can be found like this.
133:7x 19
252:2x 2x 3x 3x 7
304:2x 2x 2x 2x 19
361:19x 19
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 7x 19x 19 = 10108
Therefore, the value for common factors is 10108.
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 = 3678179904/(1x10108)
LCM = 3678179904/10108
LCM = 363888
Thus, we can understand that the LCM of 133,252,304,361 is 363888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 133, 252, 304, 361
1. What is the LCM of 133, 252, 304, 361?
Answer: LCM of 133, 252, 304, 361 is 363888.
2. How to calculate the LCM of 133, 252, 304, 361?
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 133, 252, 304, 361.
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}.