Find the LCM of 104, 177, 358, 227, 126 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 104, 177, 358, 227, 126. So, keep reading to learn more.
Given numbers are 104,177,358,227,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,177,358,227,126 is 15707417544.
Find LCM of 104,177,358,227,126 with Prime Factorization
2 | 104, 177, 358, 227, 126 |
3 | 52, 177, 179, 227, 63 |
52, 59, 179, 227, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 52 x 59 x 179 x 227 x 21 = 15707417544
Therefore, the lowest common multiple of 104,177,358,227,126 is 15707417544.
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.
104 x 177 x 358 x 227 x 126 = 188489010528
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
177 : 1, 3, 59, 177
358 : 1, 2, 179, 358
227 : 1, 227
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,177,358,227,126, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
177:3x 59
358:2x 179
227:227
126:2x 3x 3x 7
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 3 = 12
Therefore, the value for common factors is 12.
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 = 188489010528/(1x12)
LCM = 188489010528/12
LCM = 15707417544
Thus, we can understand that the LCM of 104,177,358,227,126 is 15707417544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 177, 358, 227, 126?
Answer: LCM of 104, 177, 358, 227, 126 is 15707417544.
2. How to calculate the LCM of 104, 177, 358, 227, 126?
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 104, 177, 358, 227, 126.
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}.