Find the LCM of 986, 542, 591, 756, 989 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 986, 542, 591, 756, 989. So, keep reading to learn more.
Given numbers are 986,542,591,756,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,542,591,756,989 is 19678886614044.
Find LCM of 986,542,591,756,989 with Prime Factorization
2 | 986, 542, 591, 756, 989 |
3 | 493, 271, 591, 378, 989 |
493, 271, 197, 126, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 493 x 271 x 197 x 126 x 989 = 19678886614044
Therefore, the lowest common multiple of 986,542,591,756,989 is 19678886614044.
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.
986 x 542 x 591 x 756 x 989 = 236146639368528
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
542 : 1, 2, 271, 542
591 : 1, 3, 197, 591
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,542,591,756,989, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
542:2x 271
591:3x 197
756:2x 2x 3x 3x 3x 7
989:23x 43
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 3 = 12
Therefore, the value for common factors is 12.
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 = 236146639368528/(1x12)
LCM = 236146639368528/12
LCM = 19678886614044
Thus, we can understand that the LCM of 986,542,591,756,989 is 19678886614044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 542, 591, 756, 989?
Answer: LCM of 986, 542, 591, 756, 989 is 19678886614044.
2. How to calculate the LCM of 986, 542, 591, 756, 989?
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 986, 542, 591, 756, 989.
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}.