Find the LCM of 834, 656, 377, 326, 986 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 834, 656, 377, 326, 986. So, keep reading to learn more.
Given numbers are 834,656,377,326,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,656,377,326,986 is 285770747184.
Find LCM of 834,656,377,326,986 with Prime Factorization
2 | 834, 656, 377, 326, 986 |
29 | 417, 328, 377, 163, 493 |
417, 328, 13, 163, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 417 x 328 x 13 x 163 x 17 = 285770747184
Therefore, the lowest common multiple of 834,656,377,326,986 is 285770747184.
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.
834 x 656 x 377 x 326 x 986 = 66298813346688
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
377 : 1, 13, 29, 377
326 : 1, 2, 163, 326
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,656,377,326,986, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
656:2x 2x 2x 2x 41
377:13x 29
326:2x 163
986:2x 17x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 66298813346688/(1x232)
LCM = 66298813346688/232
LCM = 285770747184
Thus, we can understand that the LCM of 834,656,377,326,986 is 285770747184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 656, 377, 326, 986?
Answer: LCM of 834, 656, 377, 326, 986 is 285770747184.
2. How to calculate the LCM of 834, 656, 377, 326, 986?
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 834, 656, 377, 326, 986.
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}.