LCM of 541, 663, 162, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 663, 162, 514 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 541, 663, 162, 514. So, keep reading to learn more.
Given numbers are 541,663,162,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,663,162,514 is 4977802674.
Find LCM of 541,663,162,514 with Prime Factorization
| 2 | 541, 663, 162, 514 |
| 3 | 541, 663, 81, 257 |
| 541, 221, 27, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 541 x 221 x 27 x 257 = 4977802674
Therefore, the lowest common multiple of 541,663,162,514 is 4977802674.
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.
541 x 663 x 162 x 514 = 29866816044
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.
541 : 1, 541
663 : 1, 3, 13, 17, 39, 51, 221, 663
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,663,162,514, is 1.
Now, the common factors can be found like this.
541:541
663:3x 13x 17
162:2x 3x 3x 3x 3
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 29866816044/(1x6)
LCM = 29866816044/6
LCM = 4977802674
Thus, we can understand that the LCM of 541,663,162,514 is 4977802674.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 663, 162, 514
1. What is the LCM of 541, 663, 162, 514?
Answer: LCM of 541, 663, 162, 514 is 4977802674.
2. How to calculate the LCM of 541, 663, 162, 514?
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 541, 663, 162, 514.
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}.