LCM of 381, 508, 382, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 508, 382, 546 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 381, 508, 382, 546. So, keep reading to learn more.
Given numbers are 381,508,382,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,508,382,546 is 26488644.
Find LCM of 381,508,382,546 with Prime Factorization
| 2 | 381, 508, 382, 546 |
| 3 | 381, 254, 191, 273 |
| 127 | 127, 254, 191, 91 |
| 1, 2, 191, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 1 x 2 x 191 x 91 = 26488644
Therefore, the lowest common multiple of 381,508,382,546 is 26488644.
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.
381 x 508 x 382 x 546 = 40368693456
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.
381 : 1, 3, 127, 381
508 : 1, 2, 4, 127, 254, 508
382 : 1, 2, 191, 382
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,508,382,546, is 1.
Now, the common factors can be found like this.
381:3x 127
508:2x 2x 127
382:2x 191
546:2x 3x 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 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 = 40368693456/(1x1524)
LCM = 40368693456/1524
LCM = 26488644
Thus, we can understand that the LCM of 381,508,382,546 is 26488644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 508, 382, 546
1. What is the LCM of 381, 508, 382, 546?
Answer: LCM of 381, 508, 382, 546 is 26488644.
2. How to calculate the LCM of 381, 508, 382, 546?
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 381, 508, 382, 546.
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}.