Find the LCM of 329, 618, 845, 169 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 329, 618, 845, 169. So, keep reading to learn more.
Given numbers are 329,618,845,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,618,845,169 is 171807090.
Find LCM of 329,618,845,169 with Prime Factorization
13 | 329, 618, 845, 169 |
13 | 329, 618, 65, 13 |
329, 618, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 329 x 618 x 5 x 1 = 171807090
Therefore, the lowest common multiple of 329,618,845,169 is 171807090.
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.
329 x 618 x 845 x 169 = 29035398210
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.
329 : 1, 7, 47, 329
618 : 1, 2, 3, 6, 103, 206, 309, 618
845 : 1, 5, 13, 65, 169, 845
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,618,845,169, is 1.
Now, the common factors can be found like this.
329:7x 47
618:2x 3x 103
845:5x 13x 13
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 29035398210/(1x169)
LCM = 29035398210/169
LCM = 171807090
Thus, we can understand that the LCM of 329,618,845,169 is 171807090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 618, 845, 169?
Answer: LCM of 329, 618, 845, 169 is 171807090.
2. How to calculate the LCM of 329, 618, 845, 169?
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 329, 618, 845, 169.
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}.