Find the LCM of 309, 174, 174, 697, 344 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 309, 174, 174, 697, 344. So, keep reading to learn more.
Given numbers are 309,174,174,697,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,174,174,697,344 is 2148561048.
Find LCM of 309,174,174,697,344 with Prime Factorization
2 | 309, 174, 174, 697, 344 |
3 | 309, 87, 87, 697, 172 |
29 | 103, 29, 29, 697, 172 |
103, 1, 1, 697, 172 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 103 x 1 x 1 x 697 x 172 = 2148561048
Therefore, the lowest common multiple of 309,174,174,697,344 is 2148561048.
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.
309 x 174 x 174 x 697 x 344 = 2243097734112
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.
309 : 1, 3, 103, 309
174 : 1, 2, 3, 6, 29, 58, 87, 174
174 : 1, 2, 3, 6, 29, 58, 87, 174
697 : 1, 17, 41, 697
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,174,174,697,344, is 1.
Now, the common factors can be found like this.
309:3x 103
174:2x 3x 29
174:2x 3x 29
697:17x 41
344:2x 2x 2x 43
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 3x 3x 29 = 1044
Therefore, the value for common factors is 1044.
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 = 2243097734112/(1x1044)
LCM = 2243097734112/1044
LCM = 2148561048
Thus, we can understand that the LCM of 309,174,174,697,344 is 2148561048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 174, 174, 697, 344?
Answer: LCM of 309, 174, 174, 697, 344 is 2148561048.
2. How to calculate the LCM of 309, 174, 174, 697, 344?
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 309, 174, 174, 697, 344.
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}.