Find the LCM of 186, 403, 637, 863, 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 186, 403, 637, 863, 689. So, keep reading to learn more.
Given numbers are 186,403,637,863,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,403,637,863,689 is 5419248198.
Find LCM of 186,403,637,863,689 with Prime Factorization
13 | 186, 403, 637, 863, 689 |
31 | 186, 31, 49, 863, 53 |
6, 1, 49, 863, 53 |
Multiply the prime numbers at the bottom and the left side.
13 x 31 x 6 x 1 x 49 x 863 x 53 = 5419248198
Therefore, the lowest common multiple of 186,403,637,863,689 is 5419248198.
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.
186 x 403 x 637 x 863 x 689 = 28391441309322
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
403 : 1, 13, 31, 403
637 : 1, 7, 13, 49, 91, 637
863 : 1, 863
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,403,637,863,689, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
403:13x 31
637:7x 7x 13
863:863
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.
13x 13x 31 = 5239
Therefore, the value for common factors is 5239.
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 = 28391441309322/(1x5239)
LCM = 28391441309322/5239
LCM = 5419248198
Thus, we can understand that the LCM of 186,403,637,863,689 is 5419248198.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 186, 403, 637, 863, 689?
Answer: LCM of 186, 403, 637, 863, 689 is 5419248198.
2. How to calculate the LCM of 186, 403, 637, 863, 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 186, 403, 637, 863, 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}.