LCM of 309, 372, 638, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 372, 638, 174 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, 372, 638, 174. So, keep reading to learn more.
Given numbers are 309,372,638,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,372,638,174 is 12222804.
Find LCM of 309,372,638,174 with Prime Factorization
| 2 | 309, 372, 638, 174 |
| 3 | 309, 186, 319, 87 |
| 29 | 103, 62, 319, 29 |
| 103, 62, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 103 x 62 x 11 x 1 = 12222804
Therefore, the lowest common multiple of 309,372,638,174 is 12222804.
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 372 x 638 x 174 = 12760607376
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
638 : 1, 2, 11, 22, 29, 58, 319, 638
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,372,638,174, is 1.
Now, the common factors can be found like this.
309:3x 103
372:2x 2x 3x 31
638:2x 11x 29
174:2x 3x 29
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 = 12760607376/(1x1044)
LCM = 12760607376/1044
LCM = 12222804
Thus, we can understand that the LCM of 309,372,638,174 is 12222804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 372, 638, 174
1. What is the LCM of 309, 372, 638, 174?
Answer: LCM of 309, 372, 638, 174 is 12222804.
2. How to calculate the LCM of 309, 372, 638, 174?
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, 372, 638, 174.
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}.