Find the LCM of 636, 207, 342, 513, 161 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 636, 207, 342, 513, 161. So, keep reading to learn more.
Given numbers are 636,207,342,513,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,207,342,513,161 is 17509716.
Find LCM of 636,207,342,513,161 with Prime Factorization
2 | 636, 207, 342, 513, 161 |
3 | 318, 207, 171, 513, 161 |
3 | 106, 69, 57, 171, 161 |
19 | 106, 23, 19, 57, 161 |
23 | 106, 23, 1, 3, 161 |
106, 1, 1, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 23 x 106 x 1 x 1 x 3 x 7 = 17509716
Therefore, the lowest common multiple of 636,207,342,513,161 is 17509716.
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.
636 x 207 x 342 x 513 x 161 = 3718748503512
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
207 : 1, 3, 9, 23, 69, 207
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
513 : 1, 3, 9, 19, 27, 57, 171, 513
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,207,342,513,161, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
207:3x 3x 23
342:2x 3x 3x 19
513:3x 3x 3x 19
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 19x 23 = 212382
Therefore, the value for common factors is 212382.
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 = 3718748503512/(1x212382)
LCM = 3718748503512/212382
LCM = 17509716
Thus, we can understand that the LCM of 636,207,342,513,161 is 17509716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 636, 207, 342, 513, 161?
Answer: LCM of 636, 207, 342, 513, 161 is 17509716.
2. How to calculate the LCM of 636, 207, 342, 513, 161?
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 636, 207, 342, 513, 161.
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}.