Find the LCM of 694, 211, 261, 412, 309 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 694, 211, 261, 412, 309. So, keep reading to learn more.
Given numbers are 694,211,261,412,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,211,261,412,309 is 7873170444.
Find LCM of 694,211,261,412,309 with Prime Factorization
2 | 694, 211, 261, 412, 309 |
3 | 347, 211, 261, 206, 309 |
103 | 347, 211, 87, 206, 103 |
347, 211, 87, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 347 x 211 x 87 x 2 x 1 = 7873170444
Therefore, the lowest common multiple of 694,211,261,412,309 is 7873170444.
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.
694 x 211 x 261 x 412 x 309 = 4865619334392
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.
694 : 1, 2, 347, 694
211 : 1, 211
261 : 1, 3, 9, 29, 87, 261
412 : 1, 2, 4, 103, 206, 412
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,211,261,412,309, is 1.
Now, the common factors can be found like this.
694:2x 347
211:211
261:3x 3x 29
412:2x 2x 103
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 103 = 618
Therefore, the value for common factors is 618.
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 = 4865619334392/(1x618)
LCM = 4865619334392/618
LCM = 7873170444
Thus, we can understand that the LCM of 694,211,261,412,309 is 7873170444.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 694, 211, 261, 412, 309?
Answer: LCM of 694, 211, 261, 412, 309 is 7873170444.
2. How to calculate the LCM of 694, 211, 261, 412, 309?
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 694, 211, 261, 412, 309.
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}.