Find the LCM of 308, 546, 351, 374 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 308, 546, 351, 374. So, keep reading to learn more.
Given numbers are 308,546,351,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,546,351,374 is 1837836.
Find LCM of 308,546,351,374 with Prime Factorization
2 | 308, 546, 351, 374 |
3 | 154, 273, 351, 187 |
7 | 154, 91, 117, 187 |
11 | 22, 13, 117, 187 |
13 | 2, 13, 117, 17 |
2, 1, 9, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 2 x 1 x 9 x 17 = 1837836
Therefore, the lowest common multiple of 308,546,351,374 is 1837836.
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.
308 x 546 x 351 x 374 = 22076086032
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
351 : 1, 3, 9, 13, 27, 39, 117, 351
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,546,351,374, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
546:2x 3x 7x 13
351:3x 3x 3x 13
374:2x 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.
2x 2x 3x 7x 11x 13 = 12012
Therefore, the value for common factors is 12012.
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 = 22076086032/(1x12012)
LCM = 22076086032/12012
LCM = 1837836
Thus, we can understand that the LCM of 308,546,351,374 is 1837836.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 546, 351, 374?
Answer: LCM of 308, 546, 351, 374 is 1837836.
2. How to calculate the LCM of 308, 546, 351, 374?
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 308, 546, 351, 374.
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}.