Find the LCM of 668, 598, 169, 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 668, 598, 169, 161. So, keep reading to learn more.
Given numbers are 668,598,169,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,598,169,161 is 18175612.
Find LCM of 668,598,169,161 with Prime Factorization
2 | 668, 598, 169, 161 |
13 | 334, 299, 169, 161 |
23 | 334, 23, 13, 161 |
334, 1, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 334 x 1 x 13 x 7 = 18175612
Therefore, the lowest common multiple of 668,598,169,161 is 18175612.
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.
668 x 598 x 169 x 161 = 10869015976
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.
668 : 1, 2, 4, 167, 334, 668
598 : 1, 2, 13, 23, 26, 46, 299, 598
169 : 1, 13, 169
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,598,169,161, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
598:2x 13x 23
169:13x 13
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 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 10869015976/(1x598)
LCM = 10869015976/598
LCM = 18175612
Thus, we can understand that the LCM of 668,598,169,161 is 18175612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 598, 169, 161?
Answer: LCM of 668, 598, 169, 161 is 18175612.
2. How to calculate the LCM of 668, 598, 169, 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 668, 598, 169, 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}.