Find the LCM of 171, 779, 353, 424, 689 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 171, 779, 353, 424, 689. So, keep reading to learn more.
Given numbers are 171,779,353,424,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,779,353,424,689 is 13641555096.
Find LCM of 171,779,353,424,689 with Prime Factorization
19 | 171, 779, 353, 424, 689 |
53 | 9, 41, 353, 424, 689 |
9, 41, 353, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
19 x 53 x 9 x 41 x 353 x 8 x 13 = 13641555096
Therefore, the lowest common multiple of 171,779,353,424,689 is 13641555096.
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.
171 x 779 x 353 x 424 x 689 = 13737045981672
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.
171 : 1, 3, 9, 19, 57, 171
779 : 1, 19, 41, 779
353 : 1, 353
424 : 1, 2, 4, 8, 53, 106, 212, 424
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,779,353,424,689, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
779:19x 41
353:353
424:2x 2x 2x 53
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 53 = 1007
Therefore, the value for common factors is 1007.
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 = 13737045981672/(1x1007)
LCM = 13737045981672/1007
LCM = 13641555096
Thus, we can understand that the LCM of 171,779,353,424,689 is 13641555096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 171, 779, 353, 424, 689?
Answer: LCM of 171, 779, 353, 424, 689 is 13641555096.
2. How to calculate the LCM of 171, 779, 353, 424, 689?
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 171, 779, 353, 424, 689.
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}.