LCM of 417, 234, 741, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 234, 741, 728 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 417, 234, 741, 728. So, keep reading to learn more.
Given numbers are 417,234,741,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,234,741,728 is 17303832.
Find LCM of 417,234,741,728 with Prime Factorization
| 2 | 417, 234, 741, 728 |
| 3 | 417, 117, 741, 364 |
| 13 | 139, 39, 247, 364 |
| 139, 3, 19, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 139 x 3 x 19 x 28 = 17303832
Therefore, the lowest common multiple of 417,234,741,728 is 17303832.
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.
417 x 234 x 741 x 728 = 52638256944
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.
417 : 1, 3, 139, 417
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
741 : 1, 3, 13, 19, 39, 57, 247, 741
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,234,741,728, is 1.
Now, the common factors can be found like this.
417:3x 139
234:2x 3x 3x 13
741:3x 13x 19
728:2x 2x 2x 7x 13
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 3x 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 52638256944/(1x3042)
LCM = 52638256944/3042
LCM = 17303832
Thus, we can understand that the LCM of 417,234,741,728 is 17303832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 417, 234, 741, 728
1. What is the LCM of 417, 234, 741, 728?
Answer: LCM of 417, 234, 741, 728 is 17303832.
2. How to calculate the LCM of 417, 234, 741, 728?
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 417, 234, 741, 728.
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}.