Find the LCM of 107, 247, 252, 169 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 107, 247, 252, 169. So, keep reading to learn more.
Given numbers are 107,247,252,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,247,252,169 is 86581404.
Find LCM of 107,247,252,169 with Prime Factorization
13 | 107, 247, 252, 169 |
107, 19, 252, 13 |
Multiply the prime numbers at the bottom and the left side.
13 x 107 x 19 x 252 x 13 = 86581404
Therefore, the lowest common multiple of 107,247,252,169 is 86581404.
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.
107 x 247 x 252 x 169 = 1125558252
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.
107 : 1, 107
247 : 1, 13, 19, 247
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,247,252,169, is 1.
Now, the common factors can be found like this.
107:107
247:13x 19
252:2x 2x 3x 3x 7
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 1125558252/(1x13)
LCM = 1125558252/13
LCM = 86581404
Thus, we can understand that the LCM of 107,247,252,169 is 86581404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 247, 252, 169?
Answer: LCM of 107, 247, 252, 169 is 86581404.
2. How to calculate the LCM of 107, 247, 252, 169?
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 107, 247, 252, 169.
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}.