LCM of 574, 361, 442, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 574, 361, 442, 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 574, 361, 442, 546. So, keep reading to learn more.
Given numbers are 574,361,442,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,361,442,546 is 137382882.
Find LCM of 574,361,442,546 with Prime Factorization
| 2 | 574, 361, 442, 546 |
| 7 | 287, 361, 221, 273 |
| 13 | 41, 361, 221, 39 |
| 41, 361, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 41 x 361 x 17 x 3 = 137382882
Therefore, the lowest common multiple of 574,361,442,546 is 137382882.
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.
574 x 361 x 442 x 546 = 50007369048
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
361 : 1, 19, 361
442 : 1, 2, 13, 17, 26, 34, 221, 442
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 574,361,442,546, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
361:19x 19
442:2x 13x 17
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 50007369048/(1x364)
LCM = 50007369048/364
LCM = 137382882
Thus, we can understand that the LCM of 574,361,442,546 is 137382882.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 574, 361, 442, 546
1. What is the LCM of 574, 361, 442, 546?
Answer: LCM of 574, 361, 442, 546 is 137382882.
2. How to calculate the LCM of 574, 361, 442, 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 574, 361, 442, 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}.