Find the LCM of 161, 115, 609, 303, 438 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, 115, 609, 303, 438. So, keep reading to learn more.
Given numbers are 161,115,609,303,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,115,609,303,438 is 1032736110.
Find LCM of 161,115,609,303,438 with Prime Factorization
3 | 161, 115, 609, 303, 438 |
7 | 161, 115, 203, 101, 146 |
23 | 23, 115, 29, 101, 146 |
1, 5, 29, 101, 146 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 1 x 5 x 29 x 101 x 146 = 1032736110
Therefore, the lowest common multiple of 161,115,609,303,438 is 1032736110.
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 115 x 609 x 303 x 438 = 1496434623390
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
115 : 1, 5, 23, 115
609 : 1, 3, 7, 21, 29, 87, 203, 609
303 : 1, 3, 101, 303
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,115,609,303,438, is 1.
Now, the common factors can be found like this.
161:7x 23
115:5x 23
609:3x 7x 29
303:3x 101
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 23 = 1449
Therefore, the value for common factors is 1449.
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 = 1496434623390/(1x1449)
LCM = 1496434623390/1449
LCM = 1032736110
Thus, we can understand that the LCM of 161,115,609,303,438 is 1032736110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 161, 115, 609, 303, 438?
Answer: LCM of 161, 115, 609, 303, 438 is 1032736110.
2. How to calculate the LCM of 161, 115, 609, 303, 438?
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, 115, 609, 303, 438.
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}.