Find the LCM of 169, 120, 404, 701, 246 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 169, 120, 404, 701, 246. So, keep reading to learn more.
Given numbers are 169,120,404,701,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,120,404,701,246 is 58869615480.
Find LCM of 169,120,404,701,246 with Prime Factorization
2 | 169, 120, 404, 701, 246 |
2 | 169, 60, 202, 701, 123 |
3 | 169, 30, 101, 701, 123 |
169, 10, 101, 701, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 169 x 10 x 101 x 701 x 41 = 58869615480
Therefore, the lowest common multiple of 169,120,404,701,246 is 58869615480.
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.
169 x 120 x 404 x 701 x 246 = 1412870771520
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.
169 : 1, 13, 169
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
404 : 1, 2, 4, 101, 202, 404
701 : 1, 701
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,120,404,701,246, is 1.
Now, the common factors can be found like this.
169:13x 13
120:2x 2x 2x 3x 5
404:2x 2x 101
701:701
246:2x 3x 41
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 1412870771520/(1x24)
LCM = 1412870771520/24
LCM = 58869615480
Thus, we can understand that the LCM of 169,120,404,701,246 is 58869615480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 120, 404, 701, 246?
Answer: LCM of 169, 120, 404, 701, 246 is 58869615480.
2. How to calculate the LCM of 169, 120, 404, 701, 246?
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 169, 120, 404, 701, 246.
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}.