Find the LCM of 148, 120, 361, 546, 393 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 148, 120, 361, 546, 393. So, keep reading to learn more.
Given numbers are 148,120,361,546,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,120,361,546,393 is 19107455640.
Find LCM of 148,120,361,546,393 with Prime Factorization
2 | 148, 120, 361, 546, 393 |
2 | 74, 60, 361, 273, 393 |
3 | 37, 30, 361, 273, 393 |
37, 10, 361, 91, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 10 x 361 x 91 x 131 = 19107455640
Therefore, the lowest common multiple of 148,120,361,546,393 is 19107455640.
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.
148 x 120 x 361 x 546 x 393 = 1375736806080
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.
148 : 1, 2, 4, 37, 74, 148
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
361 : 1, 19, 361
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,120,361,546,393, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
120:2x 2x 2x 3x 5
361:19x 19
546:2x 3x 7x 13
393:3x 131
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 1375736806080/(1x72)
LCM = 1375736806080/72
LCM = 19107455640
Thus, we can understand that the LCM of 148,120,361,546,393 is 19107455640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 148, 120, 361, 546, 393?
Answer: LCM of 148, 120, 361, 546, 393 is 19107455640.
2. How to calculate the LCM of 148, 120, 361, 546, 393?
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 148, 120, 361, 546, 393.
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}.