LCM of 481, 546, 189, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 546, 189, 338 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 481, 546, 189, 338. So, keep reading to learn more.
Given numbers are 481,546,189,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,546,189,338 is 2363634.
Find LCM of 481,546,189,338 with Prime Factorization
| 2 | 481, 546, 189, 338 |
| 3 | 481, 273, 189, 169 |
| 7 | 481, 91, 63, 169 |
| 13 | 481, 13, 9, 169 |
| 37, 1, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 37 x 1 x 9 x 13 = 2363634
Therefore, the lowest common multiple of 481,546,189,338 is 2363634.
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.
481 x 546 x 189 x 338 = 16777074132
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.
481 : 1, 13, 37, 481
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
189 : 1, 3, 7, 9, 21, 27, 63, 189
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,546,189,338, is 1.
Now, the common factors can be found like this.
481:13x 37
546:2x 3x 7x 13
189:3x 3x 3x 7
338:2x 13x 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 7x 13x 13 = 7098
Therefore, the value for common factors is 7098.
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 = 16777074132/(1x7098)
LCM = 16777074132/7098
LCM = 2363634
Thus, we can understand that the LCM of 481,546,189,338 is 2363634.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 546, 189, 338
1. What is the LCM of 481, 546, 189, 338?
Answer: LCM of 481, 546, 189, 338 is 2363634.
2. How to calculate the LCM of 481, 546, 189, 338?
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 481, 546, 189, 338.
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}.