Find the LCM of 852, 229, 726, 759, 682 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 852, 229, 726, 759, 682. So, keep reading to learn more.
Given numbers are 852,229,726,759,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,229,726,759,682 is 16832552484.
Find LCM of 852,229,726,759,682 with Prime Factorization
2 | 852, 229, 726, 759, 682 |
3 | 426, 229, 363, 759, 341 |
11 | 142, 229, 121, 253, 341 |
142, 229, 11, 23, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 142 x 229 x 11 x 23 x 31 = 16832552484
Therefore, the lowest common multiple of 852,229,726,759,682 is 16832552484.
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.
852 x 229 x 726 x 759 x 682 = 73322598620304
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
229 : 1, 229
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
759 : 1, 3, 11, 23, 33, 69, 253, 759
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,229,726,759,682, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
229:229
726:2x 3x 11x 11
759:3x 11x 23
682:2x 11x 31
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 3x 3x 11x 11 = 4356
Therefore, the value for common factors is 4356.
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 = 73322598620304/(1x4356)
LCM = 73322598620304/4356
LCM = 16832552484
Thus, we can understand that the LCM of 852,229,726,759,682 is 16832552484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 229, 726, 759, 682?
Answer: LCM of 852, 229, 726, 759, 682 is 16832552484.
2. How to calculate the LCM of 852, 229, 726, 759, 682?
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 852, 229, 726, 759, 682.
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}.