Find the LCM of 817, 167, 443, 545, 436 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 817, 167, 443, 545, 436. So, keep reading to learn more.
Given numbers are 817,167,443,545,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,167,443,545,436 is 131764599860.
Find LCM of 817,167,443,545,436 with Prime Factorization
109 | 817, 167, 443, 545, 436 |
817, 167, 443, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
109 x 817 x 167 x 443 x 5 x 4 = 131764599860
Therefore, the lowest common multiple of 817,167,443,545,436 is 131764599860.
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.
817 x 167 x 443 x 545 x 436 = 14362341384740
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.
817 : 1, 19, 43, 817
167 : 1, 167
443 : 1, 443
545 : 1, 5, 109, 545
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,167,443,545,436, is 1.
Now, the common factors can be found like this.
817:19x 43
167:167
443:443
545:5x 109
436:2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
109 = 109
Therefore, the value for common factors is 109.
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 = 14362341384740/(1x109)
LCM = 14362341384740/109
LCM = 131764599860
Thus, we can understand that the LCM of 817,167,443,545,436 is 131764599860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 817, 167, 443, 545, 436?
Answer: LCM of 817, 167, 443, 545, 436 is 131764599860.
2. How to calculate the LCM of 817, 167, 443, 545, 436?
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 817, 167, 443, 545, 436.
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}.