LCM of 482, 464, 381, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 464, 381, 762 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 482, 464, 381, 762. So, keep reading to learn more.
Given numbers are 482,464,381,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,464,381,762 is 42604944.
Find LCM of 482,464,381,762 with Prime Factorization
| 2 | 482, 464, 381, 762 |
| 3 | 241, 232, 381, 381 |
| 127 | 241, 232, 127, 127 |
| 241, 232, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 241 x 232 x 1 x 1 = 42604944
Therefore, the lowest common multiple of 482,464,381,762 is 42604944.
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.
482 x 464 x 381 x 762 = 64929934656
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.
482 : 1, 2, 241, 482
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
381 : 1, 3, 127, 381
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,464,381,762, is 1.
Now, the common factors can be found like this.
482:2x 241
464:2x 2x 2x 2x 29
381:3x 127
762:2x 3x 127
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 127 = 1524
Therefore, the value for common factors is 1524.
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 = 64929934656/(1x1524)
LCM = 64929934656/1524
LCM = 42604944
Thus, we can understand that the LCM of 482,464,381,762 is 42604944.
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FAQs on LCM of 482, 464, 381, 762
1. What is the LCM of 482, 464, 381, 762?
Answer: LCM of 482, 464, 381, 762 is 42604944.
2. How to calculate the LCM of 482, 464, 381, 762?
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 482, 464, 381, 762.
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}.