LCM of 548, 428, 962, 520, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 428, 962, 520, 467 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 548, 428, 962, 520, 467. So, keep reading to learn more.
Given numbers are 548,428,962,520,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,428,962,520,467 is 131712287720.
Find LCM of 548,428,962,520,467 with Prime Factorization
| 2 | 548, 428, 962, 520, 467 |
| 2 | 274, 214, 481, 260, 467 |
| 13 | 137, 107, 481, 130, 467 |
| 137, 107, 37, 10, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 137 x 107 x 37 x 10 x 467 = 131712287720
Therefore, the lowest common multiple of 548,428,962,520,467 is 131712287720.
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.
548 x 428 x 962 x 520 x 467 = 54792311691520
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.
548 : 1, 2, 4, 137, 274, 548
428 : 1, 2, 4, 107, 214, 428
962 : 1, 2, 13, 26, 37, 74, 481, 962
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,428,962,520,467, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
428:2x 2x 107
962:2x 13x 37
520:2x 2x 2x 5x 13
467:467
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 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 54792311691520/(1x416)
LCM = 54792311691520/416
LCM = 131712287720
Thus, we can understand that the LCM of 548,428,962,520,467 is 131712287720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 548, 428, 962, 520, 467
1. What is the LCM of 548, 428, 962, 520, 467?
Answer: LCM of 548, 428, 962, 520, 467 is 131712287720.
2. How to calculate the LCM of 548, 428, 962, 520, 467?
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 548, 428, 962, 520, 467.
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}.