Find the LCM of 351, 755, 374, 187 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 351, 755, 374, 187. So, keep reading to learn more.
Given numbers are 351,755,374,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,755,374,187 is 99111870.
Find LCM of 351,755,374,187 with Prime Factorization
11 | 351, 755, 374, 187 |
17 | 351, 755, 34, 17 |
351, 755, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 351 x 755 x 2 x 1 = 99111870
Therefore, the lowest common multiple of 351,755,374,187 is 99111870.
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.
351 x 755 x 374 x 187 = 18533919690
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
755 : 1, 5, 151, 755
374 : 1, 2, 11, 17, 22, 34, 187, 374
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,755,374,187, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
755:5x 151
374:2x 11x 17
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 18533919690/(1x187)
LCM = 18533919690/187
LCM = 99111870
Thus, we can understand that the LCM of 351,755,374,187 is 99111870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 351, 755, 374, 187?
Answer: LCM of 351, 755, 374, 187 is 99111870.
2. How to calculate the LCM of 351, 755, 374, 187?
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 351, 755, 374, 187.
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}.