Find the LCM of 845, 986, 134, 676, 316 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 845, 986, 134, 676, 316. So, keep reading to learn more.
Given numbers are 845,986,134,676,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,986,134,676,316 is 8819937620.
Find LCM of 845,986,134,676,316 with Prime Factorization
2 | 845, 986, 134, 676, 316 |
2 | 845, 493, 67, 338, 158 |
13 | 845, 493, 67, 169, 79 |
13 | 65, 493, 67, 13, 79 |
5, 493, 67, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 5 x 493 x 67 x 1 x 79 = 8819937620
Therefore, the lowest common multiple of 845,986,134,676,316 is 8819937620.
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.
845 x 986 x 134 x 676 x 316 = 23849111324480
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.
845 : 1, 5, 13, 65, 169, 845
986 : 1, 2, 17, 29, 34, 58, 493, 986
134 : 1, 2, 67, 134
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,986,134,676,316, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
986:2x 17x 29
134:2x 67
676:2x 2x 13x 13
316:2x 2x 79
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 2x 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 23849111324480/(1x2704)
LCM = 23849111324480/2704
LCM = 8819937620
Thus, we can understand that the LCM of 845,986,134,676,316 is 8819937620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 986, 134, 676, 316?
Answer: LCM of 845, 986, 134, 676, 316 is 8819937620.
2. How to calculate the LCM of 845, 986, 134, 676, 316?
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 845, 986, 134, 676, 316.
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}.