Find the LCM of 161, 109, 819, 910, 653 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 161, 109, 819, 910, 653. So, keep reading to learn more.
Given numbers are 161,109,819,910,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,109,819,910,653 is 13407611490.
Find LCM of 161,109,819,910,653 with Prime Factorization
7 | 161, 109, 819, 910, 653 |
13 | 23, 109, 117, 130, 653 |
23, 109, 9, 10, 653 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 23 x 109 x 9 x 10 x 653 = 13407611490
Therefore, the lowest common multiple of 161,109,819,910,653 is 13407611490.
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.
161 x 109 x 819 x 910 x 653 = 8540648519130
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.
161 : 1, 7, 23, 161
109 : 1, 109
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,109,819,910,653, is 1.
Now, the common factors can be found like this.
161:7x 23
109:109
819:3x 3x 7x 13
910:2x 5x 7x 13
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13 = 637
Therefore, the value for common factors is 637.
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 = 8540648519130/(1x637)
LCM = 8540648519130/637
LCM = 13407611490
Thus, we can understand that the LCM of 161,109,819,910,653 is 13407611490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 161, 109, 819, 910, 653?
Answer: LCM of 161, 109, 819, 910, 653 is 13407611490.
2. How to calculate the LCM of 161, 109, 819, 910, 653?
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 161, 109, 819, 910, 653.
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}.