LCM of 417, 425, 428, 748, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 425, 428, 748, 438 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, 425, 428, 748, 438. So, keep reading to learn more.
Given numbers are 417,425,428,748,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,425,428,748,438 is 60909396900.
Find LCM of 417,425,428,748,438 with Prime Factorization
| 2 | 417, 425, 428, 748, 438 |
| 2 | 417, 425, 214, 374, 219 |
| 3 | 417, 425, 107, 187, 219 |
| 17 | 139, 425, 107, 187, 73 |
| 139, 25, 107, 11, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 139 x 25 x 107 x 11 x 73 = 60909396900
Therefore, the lowest common multiple of 417,425,428,748,438 is 60909396900.
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 425 x 428 x 748 x 438 = 24851033935200
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
425 : 1, 5, 17, 25, 85, 425
428 : 1, 2, 4, 107, 214, 428
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,425,428,748,438, is 1.
Now, the common factors can be found like this.
417:3x 139
425:5x 5x 17
428:2x 2x 107
748:2x 2x 11x 17
438:2x 3x 73
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 2x 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 24851033935200/(1x408)
LCM = 24851033935200/408
LCM = 60909396900
Thus, we can understand that the LCM of 417,425,428,748,438 is 60909396900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 417, 425, 428, 748, 438
1. What is the LCM of 417, 425, 428, 748, 438?
Answer: LCM of 417, 425, 428, 748, 438 is 60909396900.
2. How to calculate the LCM of 417, 425, 428, 748, 438?
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, 425, 428, 748, 438.
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}.