LCM of 437, 138, 174, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 138, 174, 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 437, 138, 174, 246. So, keep reading to learn more.
Given numbers are 437,138,174,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,138,174,246 is 3117558.
Find LCM of 437,138,174,246 with Prime Factorization
| 2 | 437, 138, 174, 246 |
| 3 | 437, 69, 87, 123 |
| 23 | 437, 23, 29, 41 |
| 19, 1, 29, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 19 x 1 x 29 x 41 = 3117558
Therefore, the lowest common multiple of 437,138,174,246 is 3117558.
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.
437 x 138 x 174 x 246 = 2581338024
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.
437 : 1, 19, 23, 437
138 : 1, 2, 3, 6, 23, 46, 69, 138
174 : 1, 2, 3, 6, 29, 58, 87, 174
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 437,138,174,246, is 1.
Now, the common factors can be found like this.
437:19x 23
138:2x 3x 23
174:2x 3x 29
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 3x 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 2581338024/(1x828)
LCM = 2581338024/828
LCM = 3117558
Thus, we can understand that the LCM of 437,138,174,246 is 3117558.
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FAQs on LCM of 437, 138, 174, 246
1. What is the LCM of 437, 138, 174, 246?
Answer: LCM of 437, 138, 174, 246 is 3117558.
2. How to calculate the LCM of 437, 138, 174, 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 437, 138, 174, 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}.