Find the LCM of 361, 146, 365, 134 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 361, 146, 365, 134. So, keep reading to learn more.
Given numbers are 361,146,365,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,146,365,134 is 17656510.
Find LCM of 361,146,365,134 with Prime Factorization
2 | 361, 146, 365, 134 |
73 | 361, 73, 365, 67 |
361, 1, 5, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 361 x 1 x 5 x 67 = 17656510
Therefore, the lowest common multiple of 361,146,365,134 is 17656510.
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.
361 x 146 x 365 x 134 = 2577850460
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.
361 : 1, 19, 361
146 : 1, 2, 73, 146
365 : 1, 5, 73, 365
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,146,365,134, is 1.
Now, the common factors can be found like this.
361:19x 19
146:2x 73
365:5x 73
134:2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 2577850460/(1x146)
LCM = 2577850460/146
LCM = 17656510
Thus, we can understand that the LCM of 361,146,365,134 is 17656510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 146, 365, 134?
Answer: LCM of 361, 146, 365, 134 is 17656510.
2. How to calculate the LCM of 361, 146, 365, 134?
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 361, 146, 365, 134.
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}.