Find the LCM of 367, 802, 168, 742, 161 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 367, 802, 168, 742, 161. So, keep reading to learn more.
Given numbers are 367,802,168,742,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,802,168,742,161 is 30138624264.
Find LCM of 367,802,168,742,161 with Prime Factorization
2 | 367, 802, 168, 742, 161 |
7 | 367, 401, 84, 371, 161 |
367, 401, 12, 53, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 367 x 401 x 12 x 53 x 23 = 30138624264
Therefore, the lowest common multiple of 367,802,168,742,161 is 30138624264.
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.
367 x 802 x 168 x 742 x 161 = 5907170355744
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.
367 : 1, 367
802 : 1, 2, 401, 802
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
742 : 1, 2, 7, 14, 53, 106, 371, 742
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,802,168,742,161, is 1.
Now, the common factors can be found like this.
367:367
802:2x 401
168:2x 2x 2x 3x 7
742:2x 7x 53
161:7x 23
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 5907170355744/(1x196)
LCM = 5907170355744/196
LCM = 30138624264
Thus, we can understand that the LCM of 367,802,168,742,161 is 30138624264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 802, 168, 742, 161?
Answer: LCM of 367, 802, 168, 742, 161 is 30138624264.
2. How to calculate the LCM of 367, 802, 168, 742, 161?
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 367, 802, 168, 742, 161.
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}.