Find the LCM of 845, 684, 702, 908, 700 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, 684, 702, 908, 700. So, keep reading to learn more.
Given numbers are 845,684,702,908,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,684,702,908,700 is 13776153300.
Find LCM of 845,684,702,908,700 with Prime Factorization
2 | 845, 684, 702, 908, 700 |
2 | 845, 342, 351, 454, 350 |
3 | 845, 171, 351, 227, 175 |
3 | 845, 57, 117, 227, 175 |
5 | 845, 19, 39, 227, 175 |
13 | 169, 19, 39, 227, 35 |
13, 19, 3, 227, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 13 x 19 x 3 x 227 x 35 = 13776153300
Therefore, the lowest common multiple of 845,684,702,908,700 is 13776153300.
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 684 x 702 x 908 x 700 = 257889589776000
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
908 : 1, 2, 4, 227, 454, 908
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,684,702,908,700, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
684:2x 2x 3x 3x 19
702:2x 3x 3x 3x 13
908:2x 2x 227
700:2x 2x 5x 5x 7
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 2x 3x 3x 5x 13 = 18720
Therefore, the value for common factors is 18720.
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 = 257889589776000/(1x18720)
LCM = 257889589776000/18720
LCM = 13776153300
Thus, we can understand that the LCM of 845,684,702,908,700 is 13776153300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 684, 702, 908, 700?
Answer: LCM of 845, 684, 702, 908, 700 is 13776153300.
2. How to calculate the LCM of 845, 684, 702, 908, 700?
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, 684, 702, 908, 700.
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}.