Find the LCM of 169, 690, 214, 326, 334 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, 690, 214, 326, 334. So, keep reading to learn more.
Given numbers are 169,690,214,326,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,690,214,326,334 is 339643766670.
Find LCM of 169,690,214,326,334 with Prime Factorization
2 | 169, 690, 214, 326, 334 |
169, 345, 107, 163, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 169 x 345 x 107 x 163 x 167 = 339643766670
Therefore, the lowest common multiple of 169,690,214,326,334 is 339643766670.
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 690 x 214 x 326 x 334 = 2717150133360
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
214 : 1, 2, 107, 214
326 : 1, 2, 163, 326
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,690,214,326,334, is 1.
Now, the common factors can be found like this.
169:13x 13
690:2x 3x 5x 23
214:2x 107
326:2x 163
334:2x 167
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 2 = 8
Therefore, the value for common factors is 8.
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 = 2717150133360/(1x8)
LCM = 2717150133360/8
LCM = 339643766670
Thus, we can understand that the LCM of 169,690,214,326,334 is 339643766670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 690, 214, 326, 334?
Answer: LCM of 169, 690, 214, 326, 334 is 339643766670.
2. How to calculate the LCM of 169, 690, 214, 326, 334?
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, 690, 214, 326, 334.
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}.