Find the LCM of 318, 726, 722, 407, 164 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 318, 726, 722, 407, 164. So, keep reading to learn more.
Given numbers are 318,726,722,407,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,726,722,407,164 is 42143952972.
Find LCM of 318,726,722,407,164 with Prime Factorization
2 | 318, 726, 722, 407, 164 |
3 | 159, 363, 361, 407, 82 |
11 | 53, 121, 361, 407, 82 |
53, 11, 361, 37, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 53 x 11 x 361 x 37 x 82 = 42143952972
Therefore, the lowest common multiple of 318,726,722,407,164 is 42143952972.
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.
318 x 726 x 722 x 407 x 164 = 11126003584608
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
722 : 1, 2, 19, 38, 361, 722
407 : 1, 11, 37, 407
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,726,722,407,164, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
726:2x 3x 11x 11
722:2x 19x 19
407:11x 37
164:2x 2x 41
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 11126003584608/(1x264)
LCM = 11126003584608/264
LCM = 42143952972
Thus, we can understand that the LCM of 318,726,722,407,164 is 42143952972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 726, 722, 407, 164?
Answer: LCM of 318, 726, 722, 407, 164 is 42143952972.
2. How to calculate the LCM of 318, 726, 722, 407, 164?
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 318, 726, 722, 407, 164.
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}.